{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Plot Legends](04.06-Customizing-Legends.ipynb) | [Contents](Index.ipynb) | [Multiple Subplots](04.08-Multiple-Subplots.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.07-Customizing-Colorbars.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Colorbars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot legends identify discrete labels of discrete points.\n",
    "For continuous labels based on the color of points, lines, or regions, a labeled colorbar can be a great tool.\n",
    "In Matplotlib, a colorbar is a separate axes that can provide a key for the meaning of colors in a plot.\n",
    "Because the book is printed in black-and-white, this section has an accompanying online supplement where you can view the figures in full color (https://github.com/jakevdp/PythonDataScienceHandbook).\n",
    "We'll start by setting up the notebook for plotting and importing the functions we will use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we have seen several times throughout this section, the simplest colorbar can be created with the ``plt.colorbar`` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 1000)\n",
    "I = np.sin(x) * np.cos(x[:, np.newaxis])\n",
    "\n",
    "plt.imshow(I)\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll now discuss a few ideas for customizing these colorbars and using them effectively in various situations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing Colorbars\n",
    "\n",
    "The colormap can be specified using the ``cmap`` argument to the plotting function that is creating the visualization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7LIfYKEEsSeNm3c9prAX+pe17M3BxM/K9qmGQ2rcEubjKmluBVzmx5WztV62d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\nkUcemVWmyg4hlz8C8COttW8H8A0APw7gUwD+DMC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bxXOGTVEmV26HFXfc4WkpLiqsZP8B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\nRfwfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d902588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap='gray');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All the available colormaps are in the ``plt.cm`` namespace; using IPython's tab-completion will give you a full list of built-in possibilities:\n",
    "```\n",
    "plt.cm.<TAB>\n",
    "```\n",
    "But being *able* to choose a colormap is just the first step: more important is how to *decide* among the possibilities!\n",
    "The choice turns out to be much more subtle than you might initially expect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the Colormap\n",
    "\n",
    "A full treatment of color choice within visualization is beyond the scope of this book, but for entertaining reading on this subject and others, see the article [\"Ten Simple Rules for Better Figures\"](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833).\n",
    "Matplotlib's online documentation also has an [interesting discussion](http://Matplotlib.org/1.4.1/users/colormaps.html) of colormap choice.\n",
    "\n",
    "Broadly, you should be aware of three different categories of colormaps:\n",
    "\n",
    "- *Sequential colormaps*: These are made up of one continuous sequence of colors (e.g., ``binary`` or ``viridis``).\n",
    "- *Divergent colormaps*: These usually contain two distinct colors, which show positive and negative deviations from a mean (e.g., ``RdBu`` or ``PuOr``).\n",
    "- *Qualitative colormaps*: these mix colors with no particular sequence (e.g., ``rainbow`` or ``jet``).\n",
    "\n",
    "The ``jet`` colormap, which was the default in Matplotlib prior to version 2.0, is an example of a qualitative colormap.\n",
    "Its status as the default was quite unfortunate, because qualitative maps are often a poor choice for representing quantitative data.\n",
    "Among the problems is the fact that qualitative maps usually do not display any uniform progression in brightness as the scale increases.\n",
    "\n",
    "We can see this by converting the ``jet`` colorbar into black and white:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "def grayscale_cmap(cmap):\n",
    "    \"\"\"Return a grayscale version of the given colormap\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    # convert RGBA to perceived grayscale luminance\n",
    "    # cf. http://alienryderflex.com/hsp.html\n",
    "    RGB_weight = [0.299, 0.587, 0.114]\n",
    "    luminance = np.sqrt(np.dot(colors[:, :3] ** 2, RGB_weight))\n",
    "    colors[:, :3] = luminance[:, np.newaxis]\n",
    "        \n",
    "    return LinearSegmentedColormap.from_list(cmap.name + \"_gray\", colors, cmap.N)\n",
    "    \n",
    "\n",
    "def view_colormap(cmap):\n",
    "    \"\"\"Plot a colormap with its grayscale equivalent\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    cmap = grayscale_cmap(cmap)\n",
    "    grayscale = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    fig, ax = plt.subplots(2, figsize=(6, 2),\n",
    "                           subplot_kw=dict(xticks=[], yticks=[]))\n",
    "    ax[0].imshow([colors], extent=[0, 10, 0, 1])\n",
    "    ax[1].imshow([grayscale], extent=[0, 10, 0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11656ceb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('jet')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice the bright stripes in the grayscale image.\n",
    "Even in full color, this uneven brightness means that the eye will be drawn to certain portions of the color range, which will potentially emphasize unimportant parts of the dataset.\n",
    "It's better to use a colormap such as ``viridis`` (the default as of Matplotlib 2.0), which is specifically constructed to have an even brightness variation across the range.\n",
    "Thus it not only plays well with our color perception, but also will translate well to grayscale printing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165767f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('viridis')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you favor rainbow schemes, another good option for continuous data is the ``cubehelix`` colormap:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noQtQSOgCFPoDAVPczXaO6jAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165caf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('cubehelix')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For other situations, such as showing positive and negative deviations from some mean, dual-color colorbars such as ``RdBu`` (*Red-Blue*) can be useful. However, as you can see in the following figure, it's important to note that the positive-negative information will be lost upon translation to grayscale!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c20e908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('RdBu')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll see examples of using some of these color maps as we continue.\n",
    "\n",
    "There are a large number of colormaps available in Matplotlib; to see a list of them, you can use IPython to explore the ``plt.cm`` submodule. For a more principled approach to colors in Python, you can refer to the tools and documentation within the Seaborn library (see [Visualization With Seaborn](04.14-Visualization-With-Seaborn.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Color limits and extensions\n",
    "\n",
    "Matplotlib allows for a large range of colorbar customization.\n",
    "The colorbar itself is simply an instance of ``plt.Axes``, so all of the axes and tick formatting tricks we've learned are applicable.\n",
    "The colorbar has some interesting flexibility: for example, we can narrow the color limits and indicate the out-of-bounds values with a triangular arrow at the top and bottom by setting the ``extend`` property.\n",
    "This might come in handy, for example, if displaying an image that is subject to noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OiYpYGd9flNO4iMqlJxNVxj7JREN2dOnCC6yULAFUAtKJAwIypDjwrEsj3Uu4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OAAAg\nAElEQVQVGdeecAtF4u7a+d3fBUIAT8rnL5L/xec+h2GqxeWUaAxTvyQB5MhSjo/4dSNLppEMBFCt\nGockM1BUIMkMYEcNwJUMAgAzAqgCqMp0BaDCeW+4/zCyRCNLDLJEY/TRj0lbyQfhqzq2q1+o6nMo\nYh0RgKdJYLIaQJlhWut6JcUjyQDJMMHrdowENK0mHjQ3dZ2sJt269v/vWdsiul6t60jXUgHKAUD5\nxWQ1mLr4sr2gxOtaJ6J3Ja7cLpB87fW3hKuupifSXsfHClcxectIAKl9ywmGoTYHoohoD4BXA3hP\ntPm1AP6rX/+vAF7n178Dkoa9ZOa7AdwJ4PkzKu/cvP7RD8hKa86kznW0DV9UdwNQ9fAyDWaqZTR9\nPTuSaIRgLyPVx/vMl0nZMUvvaWej6JkXJ4YNmfdJtwGQmhytNgTKNVPd9bWPDS1vwIkWI2aH23uu\nZgPSaPB8XSfEYGpyOBySl2xA10M9fcGMjudoM7q2BS44dTqXWNzncD4nTcYcWYaJYuYHmflGv34U\nwK0AzuooeoJ1Y8vJY9p/VSdR8iXvv+7/v1/7C4k7SVIgHQh48sbMDDIxbisZ9EoGs5IiWTUYDJVn\nJ8RoVuBoVYxstjWTbfGyJUW6JUO2Ja3KpquRIfblvnU3YFYymEEmRnWQVUyFyjJQkoGMB1NJEuVD\nUs33Eq0PPcircPjw0Sq+yGhCqgk7rrwC+fp6BaBW0iaQCqBn666dwj55QBS2bz/4ALAyRJJpDLas\nIck0tmca2TACTDF4ipisJDVI/TnDeVcCmPNM1M5XXo1EC4CKR4SR/1icwgaVfSDRtTEg5e9ZxUal\nVSyUMH5e14MMepBh7zaNZNVEAMpAr9TgaK6u1zJkaykuXnNTujZDg3QtRTLMYIaiXwFTmbQlTaBS\naSMlHkBpLWA/9J9RgPmDt30ZV19xsb8PVAGpOOYN4xGSDU87Ep6d5ZNtEtE1RHQbEd1BRD/Xsf+N\nRHSTX64jov6JWBeUzcZE/RcAPwsgnsn1dGZ+CJBOmYjCRGhnAfhUVO4+dHfQHUIILM3Ky147t8z0\nSC0xrp3zqtXRgQu1ZComJhy7gFFtsCtxeebqdxXr5WWY6CreIbpCZIbq7T5GLGoNCEA7yihUy4M1\nqSu6HRaq6vhmyngEGgyjOpsHdLn7NibxVYo4bqP9+boGc4eaHkddzwJWOpF5/2ZQQiodbMqpt9kJ\niInoHADPBnB9x+4riehGyDv8s8x8S0eZJ4M8tv1XbHyIAGPwvb/0/XCjowKkTAIkKczAgV0rvsez\nwpJjqITSBJsoOMtwhZU4GsvVyC4AreGqqJIrVokVFdUxUT7mKbjwglE1npHSqQA9SjIgyTyr4tvc\nCnvg6P0bF1ZigUgm0d25YyvWC+vBiEKpGKlmnHbqNhyblHBcjz5U5AdE5BYTRSi0g9YK1jpo4+Cs\ngnMO+dnnIomDwBhwyVYkxiBMKCyeKFXNQRhSGqyUOcxgFSs+J5MAKYOVTFiozCikqo6JquawU/Vk\nzkBHDxJ0HO6LB1BsUhzjCVaSFOQGMNYBzsdzWldVFrKHa1PA5hY2t9Cl87o2G9O1kdQUdd4x43Vq\nmroeeAA/SAEjIAqBdQxMVNuVpxR2X3QeDj16BLS2Vt8PCkyUuG2HW1aBooMAWEDkOejf39d7E5EC\n8NsAvgXA/QA+Q0QfYObbomJfAfBSZj5ERNcA+AMAL1iqoV6WBlFE9BoADzHzjUT0shlFNx/gQRSl\nMIiCgZWqHkgpU58uZ41UccPAxmzCQhPVxo3v9Yu1Y2ZmxdD01RG1a0Gukpkrd1x8XOiQwn5AwJQC\nRxMfTzennZV39egDOLZ2BoAWgJkBoOIvtAZT1bPeKR26VgS5r86BxofBg60NXTeC/KN6Kt1xp3Ow\nU/qmNmieh+sOs932RWVGEruqusVrm5IlwxHkvERrAP4cwNs8IxXL5wCczczrRPQqAP8TwNOWP9sT\nI495/xUz2CEGT9XuMSQFlC3hnIVihnHRs8vADUcUnrEqBrBMCqjUwOUlXGnhCgcXApJ9B1AZ5HB6\nn8iRCGJQfb6gZl4qUwGmGECZQQrKBqB0ULt40kzYCW2a1wYIWPDnHaYaueUouBie1VFIHKNkhYwl\nSNqlOhoMI6DRKILRCmluMTEOeeFQMuPSUw0+98AEzkkQdrhuV4EpU43aIkW46D/8GO58++9Lck0l\n8TmpUciSzMdiCQs1SDRWMiNgKtEY+FgtiYsKC1VB5USt9zLuA3wMUXDpsWcct6wOwWOZ9+83fua/\n46d++dvr8VA+zUI5MdDGwKYJdFHC5SVsUYqeiyj4nFu6Vh5s+2sPSTTJELQxta4942SGGVRiKheu\nGXjdpgNQmlYsqbBSKZwy4MCmRtc63L4VEx8uohVBs2ejNCFxouuiKz/PIjKDLfe7++T5AO5k5q9J\nOXofhFmuQBQzfzoq/2ksTOT0y2aYqBcB+A4iejWAIYAtRPTHAB4kotOZ+SEi2g3gYV/+PgBPiY7f\n47d1yq++/e2VMX3pS16Cl76kHsXUAOFtIAUC2AmAAjxTMT1BBxOBy1Ko6mWkK2i4vS1iA7ijfOtj\nolkV6haPCoth0px0OACYdi6pwEpNx0pRBYZmZU/KrUOqFUZrZ/T6eruA3iz3N8VXOjkKZGv9hVvS\n1jWHOe4iXdcn6gBTvuymkHwHWHqkSHBaGn1p9eiaJkfrNvdVj1rX133i4/jYxz++mdZKc1o6+sw/\nfgKf/dR1c48jIgMBUH/MzB9o749BFTP/LRH9LhGdwswHNt3ox1ce0/7rV97xH0GuBFyJq664DC97\n3iXiKilzceWVBTix8jHHDI0m+3RZamDHOWwEoGwqIIpLC7YORVFW7yjH7n2CB1BhXjgFSrTko0oN\nSCkon87AZFkVF6O8S1ENAoBK5b9nJuDjolhpsPJJGUk13q3AgleAg4BHDxzG6tY1pFrBOYbTqsp3\nFERSbwhgMdoJ4Ckd8sShKB3uOMxYGSawzgMwobAabDopQjEeIxsOcc+vvwcrqs6QbhRVaQwyo5Al\nAqCyREcASiH1SUBTHxideACmlfSj+265C3ue9bQqsaQ/MYLblkBgpSVFgGcaYUvAWZBz+Nnf/H5w\nPkYS9K0VSq1AxsAaDRUAVFJCWwdXlGArTKWzgcFqJVnxLJSsS34vUpKBvk5ZYaBTiXczgxT/9pPr\n+L3XbK3AssoG4rpNUq9niee7+WM34OJXvHAmcgkxTJqAGz/9SXz6k59A6bia+mijEubO65MZAOss\nAF+Pft+L2S73HwbwtxttX1to0ezKMyshugrATzPzdxDRfwSwn5l/zfskdzDzz/vAzD8FcAXkYv8O\nwAXc0QAi4tGxo01j2DKM1DaUrvU72q+OPAy3xbPyHYBqYSEFGh8BD7a0dzRdOczy1RZLMQanK1U9\n7Xq71uNWxs9jYRmm5W/ue17n6TfyJM6VPpasDaDazFOvi69Pvy0dbUTXC21fRBZJbxGk9cJzjz7j\n5+TAqMQpK/WAhj5dr62ugJkX1JA/CxF/6f5DM8s888xtnfUS0XsB7GPmn+qpu3J3EdHzAbyfmc/Z\nSPtONHks+q/xwX2gMgfKMajMQeUEZCfAZAzOR+B8DDc6Bs7H4MlY/hcTuPEYNi/gilJAVF7iT/7w\n0/ju730OXOFBVGEroypuQDkv+/eCVG1QAe/W8gk0//hPb8S//qHnVzmCdMhZlCVQmWcfEhn5JuzE\nADQY4jMfuQlXvOFqIMnAOgObFJxkYDOQdTNA4YDCOuSWUTj5ICucJAYdFRaT0mFUWjx84DDS4Qpy\n5zAunWwvLPLSYVxYjP16aR0Ky5iUTsBTawGAI0cmWFlNq5xUwHSOtJBIs17ElTdMPJgyNYDKjEKm\nZbTg0CgMfNqDRJEfcSaLgCuCgQMVY5AtRNeF17edAPkEPFmHG49E50HPkxG4mIDzCcpxLvrOS9i8\nFNBUehYqbwKoubom+OzouprORfJSRbr2IEqlScVAqSzW9QrI/0Y6AOsUbLJ6STJAZ/jMbV/Hxefv\n6dT1uLQYFQ7j0uKai3ZvqP8iop/5/re89T/91C/+SmP7Z//xuuoj8LprP4Kbb7rhncz8ttax3wXg\nnzHzm/3v7wPwfGbuGmX8cojr78XM/Oii7euSxyJP1DsAvJ+IfhDA1yAjWsDMtxDR+yEjYQoAP9bV\nAfVKK/al4dYDmoxUKA8A7GoABdQMxpLSBFBiFCk/Vo/OAqYAFJMCPIDKmZA2UMZifpeYcQoBe9za\nD0yDKWqBuyC37lvH03euzAVQs9yLnYMlp46vz62//iXw2c9CbhnpzEQg4tKjyTo4W9mQrpv1qJls\n34alS1chJ9TBh0Hbd4FJ4VDO2JbOPuspw/5Xr80uLiMb8SzWx9CLAHwvgC8S0Q2QR+zfA9gLgJn5\n3QDeQEQ/CnmHRwD+xeZaesLJ8em/SGa9pxAXpTTABkh8PJyzYqgAVLFTSkEpDZVM4PJC3DBFiX/1\n4y+F9YyEsxZclLVRxbQrr2pCNC+f8nmLfvjHXyJslK4zVn/++rvx/G95hjAn6QBJYKDSgTAVSYYr\nXn8VoA1+829uxttee7l/7lXdfoQPJu9CJMkNZ1lce4kiOEWwWuG0Hd4VVMoxIe4oN67KHzUpnQdS\nFoWdBlDXf+SjuOwVV2HbSnPyea2oGilWgShdD5kPbrrUA6SQEyowVKkiAU6NIfVyPR/6N7+I1/3u\n2/GHf/sl/Oi3RfHISoEtRNc+xQGcxt233I29F+0BOYfGR6FScP6ZSHy2epuWlRvPlRa6tAKomOX/\norr27JYyUdb5RNc5yVIjrJNJgCSrGKi773gI5152IZCk+OsbH8C3v/ACceMp04zr873ppReejcI6\nr2/2A1aCrhWcXj6OJ+gvlite/BJc8eKXAAAOPXoAN990w50dh94H4OzodydbTESXAHg3gGs2C6CA\n48REHW+pmagWa9Q2ksyNnDoPrVucPvTuuzIHTCt1waamfIkb2AN8OijIKTfeBn+HIOlgFRuuO7Zw\n1B1bs6gRPpZvbHqRNrMUb2/LLIYKQIc++9koYAFGystRq7Cmys59APC1Qzn2bpuf1sJC4WjhsC3t\nB09BcgcZldJo8BK6jsTx8kzUrQ/OZqKevrubiTopmxci4vHhA0AxAdkCZHNx44V1VwobkU+Emcgn\nQDHB33zhQbzq/FVwWWD//ftxyo4BXJGDratAVAWkLIPZVUa1YVyjGBnS8dxtYmhVaqCUEjYiBLib\nxI/ESyoXnjASGeBBFXQqzIROwD4IWZgK+V96JqLwrpzCMUobfgtbkZcOY+uQW4edNMLdkxST0qGw\nTo61jMI5OT5sb4AoVwWjM4C777wbZ5+3F0BteFUFpFQ0KlA1wFQ18k77IHI/gW+qCQOjkWoBVaYK\nlobU4WO8qu1wgM09++T1G+vdFl7HQc+5rJeF6L+YgMsCKAu4sgCXFr/3ucN40zMGYOdqnbta1//0\nUInn7VRzdX37QQc2Gs/alUW6Tr2uZSSeuPAy3LIvxzP27vTgOQN0IoyjD46HziK9ZygZyG2t51rX\nMtVXYYVlfNFTd26YifqXb3nrf/rZX3p7b5m3//ufwX/7oz/4CWb+7daxGsDtkMDyBwD8E4DvYeZb\nozJnA/gHAN/fio9aWk7sjOVRkLH87hqJRZVxPX1F18clWfPYcHxLjpSELXpGtuxFpAs89ZxvuuAC\n/rQ4viliKZh0BUzaBrgNYMJcVIV1DWPfBaC0zWF97iyCZERuZJ99+G5g1zl18zqavOmE2W3do4d9\nBPzFSdmjlrCmJZS+U5ixd1vWfb6WaKACUF/Yl+OSnWmnroEOANV1amyMFdvMPWwPFDgpj68wqGIm\nOORXYgE+BJZRb8xCZisN1hqvec4ecFmAyhw7z07BroQuC7C10Fb+B/eOgCmHP711hDdeOP08kw9I\nIu2H5kesFCXyHJP2iRX90PbKwAYg5eNjKB0AyoCVATfmU1MCAPzHaoiBCnmDFAhaSQwmg5FE76Qi\nwgG7gmHC0EQoNKG0jNIwSqtQOAebaFjHKD2oco5RFKUw/Sz90o5nN8c0aEV41oEv4Zadz6qYqIP7\nD2LbaadAeeBz6KMfx/ZXvExyQTXAlJ+GRisPmMJUNZ7hIlSJiqfe9qBr0LSuK8aRJO+SUkCR+2Sc\nCbgswbaALgv85ZcexVtfvKtT14C48V7cCrGsdK3qmDpSCpdsV1XyzHdefxBve8n2Dl2LC/eZ52z3\nYNkDKJWIrrUBSILl19lg2BgE5fXd0DV7W7T8yJa5o/N6ujZmtkT0VgAf8Q34Q2a+lYjegppJ/0UA\np6DO81Yw8/xUJTPkhAZRlsWQNSQGUh6AsA8eb4QPEyH/8s1Iz39mw8i2ZYtZwuETnh4vj44tdkRp\nu7nPZdgZjD773HHQcZAApO4/kuPMLTXYQUfZRpNR546aJWzSxitg2m3cdU7vHTswKrCzRbHH7atP\nsgBV1gbNQK+uw31cI0GLB0uF7aYDHC8DLpTCJbum8zpV7elre3vTnNN06XpZOYmhnni5/ev7cNFZ\nOyoXjxjVRMC0IdjCQqd+Pjqfl4fKAmwzUFngc/9wI577kovEoJa5uIWc9a4dBpzDv37Bln6GPYwA\n9a6jkCiTwpQeWrKRf/6+dVx27mqdv6pKsJlKtnKdeLeO8YHlMkKPiUAmbQ6k8IvMNcdgJ4CeCYBi\nEGSmAOUYf//Rz+Lqqy6DIaBkJTFQjmE1o3QKLozic9pPbcOwA+lbXA/VTgTcu+e52A5UoGf7madB\nKenHjFLYds3VAo6oBk/h/623343LnnVeNNdf7W4MKeSqydirk0ZuTWUAdqJrNtWHE2VDAcsqF71o\nU+vaFmBbArbEd14uTOSv/N29+A8v3+VH5Pm0CGF9jq6r1ARKiY6Vxk++YkedtiAA5ST1iUC9rpOk\nAsuVrsOzS4QVzY00PUHX1KPrpYEUzem/Zuxj5g8BuLC17V3R+psAvGm5hnXLCQ2iNAGikcifPDkm\nk+Cya95pz0rFBjY9/5nVvhnwdXYj4uOOPgqs7ZgqEgAUk5J4hykD2n1+c+AelKee02qPmzq+D0jt\n2Zo23HaTD70X2TU/IMdMjoKztblGeVK6hYDVIgCACIsBKACdcKEDNHVvm9Z1vA9E2J4CUy/xRnQ9\nQ2KW8bb9Y1zUSJxZ6/qRYwVOW03q65iqaDFdLyObZgJPyuaECBfuPR1sCxBpsBJW4n/88h/gO3/h\nB8FEMEPIM2ASoAwAqgBZC3YWl7/qBWDnQD6Gij2IqoEUADsjF081V4kAlzu+cA+e9tzzJRjZZ6Mm\nneDyi3ZU2bXzwiFLh56t0g2jytUEyrK8+40/gzf/2W81LxsRgLLeqCqBEsShn1AwDLz+lVeIG0gr\nWMe49i0/iRe++7/AMuPhz96Ebc++pAZS3rsf5v8Mo/sOHTqKbduao30DC6uIqsmDier53EL28UQr\nPxKMoD0j9bxLzq/moqsAlILPEVUn2pyKFSUFJgfycUThPaYqNq4UtsgkQCEglV0JKkuwLUX3ka7/\nz9dtrXUdSIBWLrFOXfsRnvXcd6peD1O6RFnU3/fpe/A9V13Yqes77j+IC/burli2th0NulYkoySD\n3mNdLyMKNJNJX57jemzkhAZRAKbcOpyF6TVU90g7IhSsYCj4vDoMbbv+RaUFoDgYzNjQt/P/9Lr0\naBpAzZA+4xobywCgAIB9GoF5VzdYcqbtUPdcT+TStceV9AWOUzOB6fHUdUu4Bwj3ASgANYCKpLj3\nK0j2PHXmuY4HkDrpznuiJdAWoT8QN8fr/68fE6MZcu84CyLPGCQpyFpcd9dBvGjvKjgdeKPqwM6C\nrK3YiApEuTkgCrVhvejFp3o/iXc5aTGuk+17MDj2CEhpDNZMxaiw0gDpGjxpAya/jRTe/L7fnHpO\niUhcWCyxSewYBgRSDHLyX3EIOBcwxSwxNK9672/D+RQGK1c+F9bJvnqCZZlwGaiZqG27pmdHqEbp\nVWDKT9AbAajwO1EhkSY1gFLXZLrKu64ar1YVTK4A9oDF61reY3GnSp4lDVJW7r3XdQWknJ3Wtddv\npeuZTFTQNfxgBu39qoF5VDWQCqykMfiel1/smSaNonAww6TS9QVnn17pOnh8vnr9jTj3ysurXje4\nb1kRtPMAyuta9cyCMVdo9kfgidaznfggCuhmIwA0RtpFgKoCUL5MX6rFh9dL7BrOCapexBhNta02\nppSv16kNNlDvvb/1G9jzE81R5vNcdn1xUMdDQtV/8cUH8YZLdi9cvlNmMUJ9ug77gN79liWYtOek\n82/GUsBjHveMBpCeB6CiWjclJzHUEyze6BAxmBhEGlARGPeMNZGVr392AFuQtnjx03cB7CSHlGel\nCPDMRIiNsbj25gdx9TN29wOp6IOOulx7PkZnWB4BBqsIuY4q9yMp3PWZW3D+lZcKeApgimp3UQUi\nULt3FID3v+Xn8Z3vegegCFQZV9nnHKBZ3ldmiZkySjcCxq3z7jsPnpzzsVW+7+gbOBP3gRWICvFM\nAN79J3+LH/+Xr/FgD9VcbAFcEWrwRD7ORyEwUQISw+/4FQsxcLWuvVuLlExw7zRICUCCcpJDTDuJ\n8UxF16NxjoEh0XtL15Usq2ugjseq8lrVGclZyaTP0LrWdQygPZA694rnRPeaqqTODK507fy9XXYY\nV2TVnxTy5ABRwGzjCjQBVZA5o/F2rRyny58RQD4NoBYwuuymAFSrhrrorGbR8X8Y33DJbrgoG3pX\nm+bLPLfaPF13pC5wtjEs9qb9BS49tWaCRpbQxssbyZHVaNvxLN/h0jsecqJR3t98Epgo0QQTAc4H\nm7O49yTWxdYxL5Cs1MR+X1iAekBF9PsVL4hYmNa0T9NzPdZxO/z/s/fm8ZIc1ZnodyIyq+7a3eq9\npdbSWhFCAiQhFkmIxWC2McbGZjzGGLDHYOyxDbZnDPg9j3/PDMPM4wFvjM1ggxeMjY2ZscHGDNuA\nWIxBAoQMQruEllYv6u3eW1WZGRFn/oglI7Myq+rWva1u4T6/X97KmxmZGZknMs6X3zlxAqhmoI6S\nRQZmXdj/z7v6irIs2SSb1fI1d7QDHz/+B29zcfNsM2g7VsmAYAhgJhuEzIBhcvvsdsCCJB+iHAbS\n1LqNpl6kQhJF/3hQ9PpX/ysYrZEmohLT48GUgA8gt8DKrwdw1XR+EgAZsHObWtxHICa3XVb1aQyU\nMZAoda2LAjOLM0G3V/7KX+CGd7ws/H/9Pz+Ipz/u9PAgCECuNNJEDndisV69zifQNeJFJGHybA+y\nyjQH5f2Xd0xB18bpffJ5ImrVp+EUB9X9JxfEevSAKGAsE9FafowYHk0fipVDMPObx55HQ0C24e/V\nGsoQ8zVcsTgj+ajmNNTJfP0TwOXPay3/hXuP4NqzmycP9tckrN5VFOq7mkSnQdfNxwzVoOZGffzW\nLvYt5djhAu9DWiZjgmFruo1xbWEimUrX6wt7RnVCp+QRELKcDAOAtbGOifIG1RrQAKZ8O/dByUCZ\nwoNNmerEC5eTON134BjO3FYO2aq/LX/6+rfjp97567W6oTSKjjX75F7Gc0+P5ktzZSoGN3Lt1Nus\nH/Bim54zo0QWTAlrVA0DyysDzM/NOKDkQRI55txCJ3bbgBJEffhlr8FLP/Se1kf+1vf8T7zxtS+J\nbrN8BwaDDLOzXXvraeKMPwJI8lcTEXDy24wxSBLpXHk0xEKFZwnr0SO3YucUZJeV3urVRl8DIvxv\n9S6SrtOx1fVX3/0zuGf/UZy1fSPABtdefiEYQP/YCmY32FjXpDus69uOGlywKTLrsa6BEjD5bVS6\nfBt1LUQUA1redV3XFOs6AlPTiGczR+0/meTRBaK8tAXpTinj7M0kAApABKAmYJtGnWf/7dDbL4gA\nRPV8bUi8Pt3LUKkRAAoALtux0NpAAwia4r4I3OjCmyhH1RQMoxcPoCoyZmLe1WOPtek6SNP0NWuQ\nk+xj7V+exDp0QcchZs+7aWrskn9HKICmOG/acE41/0adsXt+pOvk5b//H+sZ12IaJaw/5yxvMGuG\nNwAnqrEcpfGN5Xef/W/wi5/5cxgQfISQdfnYWzxtcdYFiJcRjN6VRyQqXYWJ/nnFR9478hPslT98\nLWbTsi7xKzC7MANJCOxIuMX6Omxf57cJwLrE4qByt9y/7xDO3LF5rK4ruqzpemh7tH7mmfMVYAUA\n3W2jdX3+DtGu66ieJZBq0DVQMo5hW7OuLfBERdeSyLGKIyo6Quxov1FM1HTnPV7y6ARRTXIcXCIn\nSvT2C2pbmkFIVch9AQ0H2k8qm2aGm4NhhjDa5gtpOr+vH4CHVhR2zk/epOoAqslN2Cgnk67zXshG\nv26yDklhT6In9C9XasYVcMDJb25JNhu/YdSSULY8puF9DB6W0e+SZckaWkrl/ap9JIzaB2tQf/mz\nfw7DbnQ1hl2Lnnkqb8Hfg2Oehm6moe4Nt33JHhurGV/uoQNHsACNhW1byjo2nI+I8P/9ySfwhp9+\nXriPtlr4fbt3RB/XJHB0uY+NC7PHV9el96x2cL2WtUNborW/+TefwRNe8pzKfTSut+gaQKOuk1r1\nViMxsG3cfwpETSHLh4CFydig4yWrBQiPvAw32b5izCZra3H2S8zmcBk3kC9+Pnx4L+i0XUNlqHcY\nPDecJgLAZACqJgNlph9hGLn2ppY6gGrKlH8C5GSLG/iXJuFtJIG7vnwjzn3aFeH/xvJtFmfyyQRG\nyjs+8Em8/qeeO1HZaZtOfNioWZ2qQZ3cavv/5n9/Az/8zCc275xQ9uyw4Qmfu+lePOPxZ48oyfiN\nV5VM/e2f/ydccN2Th0p99h3vx7Ne/+roqFI2LM5Xe+FRsbKu4N0PHMCeM7bZf1ap66WH9mNx5/bx\nBUfI41/6wkqds69+Et2rxreTiXU9hYwLGaGTzKF3MqOCUkYCqPgr6fg93J0Lq32GZM8AACAASURB\nVDCMlR5xNB5/YLnAGQvDQ+FXI4VhpA1fGU0AShuGpPGsFogqgGC1OKUJQAFoBFCTxyEN63omXUXF\nigGQRikJ6mlxpwFAdV0nHZvvZa3gbI2y3h3bKVm9+NGx5zz1ijA0H4gDpcuNdQ5iKIiaeeovewB4\nzU/8AHrKBaXTsCGqkE0o37QYjItaGQD4L+//OH7jZ15Qq2yDG7JhGwGAMdj78DHs2rJhiK15ydUX\nAtlSZVsvKzDXnay/XPnKZzH/lGcBAJ75mC1AvlIrUWVXOHpnL7jmiYDOXbHSrfWsX3nlUAzjPQ8e\nwjmnby71Gl2hSddxlOfpu7ZioKuabdP1/u/ege2POT/8L7duDToFAPON6yGe+PT6HQ59UFUC7mvX\nEFc+F4U2ENGz8MUb++iKe7LmopxS4pi0xv1rOvv6y6MDRAWpNXqjT7ixapRqIpHqvlqg9NQAKmqo\nKWGo122b+GQy4+rchzJZ9QtRPHA30t3nreqY5hdmnWKNnBhmiLQ563iQaRikBl2TB2erCaRfZzkV\nV35iJTaosSH1bxMzUAwyyG6nVsYfXzW6fl+lNXHjKoCo16m1g7JdlGOnYkPrR/SGXxcwTGRTEvjg\nal/m37+6AUDFwCkOkq8E0JfxX6dv7AJFvzwGwH1LBc5ckJVtADBPALLM1Xv43Qp3RYSFy5/sgFPc\nlzTECEW/93ztZpxz1WXVfXFwtV8iIHX2rs2VIPmQhgHD+pxW13uPDbDrvPPQL4YBVlDppdcCiivb\n7a1Wx8mJSNdxnJfdZ/WrDQ/peuhjd5yupxSB0XZqtKuPngfgne4072PmtzWU+f8BPB/ACoBXMvM3\np64sHi0gqoUWJTGa/1yr+VrODRaaJp+t12PowiNGW/lA6REGlg98D7TtrOFzRtIrDOZGsDBte47k\nwKZ0fAO3IRUCytTmzRsj6Rl7hl+g1cQwTRnvVP/6G4ppcIGtE8ddtVVvVYW9rhviIUbd5zrERE3r\nzjsRndD3q8RG1RtU41gGwwCnHeSahwyrH/oPDDMZccsYFyb5Pz7xFfzI857SyDz49iGoNLR+eL8e\nDJDOzkSj1TiMSGNyQ9lh2azKKC2XWfvmj30Gl77wOhvjwyV4Ig+i2OCehw7hnB125BmFFA8Ibf+s\nDgOZieI87c3++H/6KP7qjS9qvWd/qxoCkoD7DizhzO0bnT7czcYgKqSgECAS2HP5RYAuAlhiaMDY\nfZBVN23QAybQdcP/QLOu9y1n2D7fqeh642wHPWWw/0gf2zfNtt//KnU9PDJxvK6LXg8z83NB32Dd\nousp+zGikf1X2x4iEgB+F3YC4gcBfI2I/paZvxuVeT6A85j5AiJ6MoD3AHjKdBW1cvKDqDF+Zf+s\nB4rRXWP8T10qAGrEyLShvozEkKJp5RA4HuVH5A4c7gkrAKqlITYCqAka7aYU+Jk/uxnve/mltWOr\n90dAGQc1LjnmOGGDyZil0fsP9Apsm0vHguOR6SrWyG41XXvsGet5rxqeGecDO9XGOsk07rwT1Ql9\nP0psVHVkQLWJ10uj+skv3oRnP+2yGnsBMMopT+LPLmPGu/ee9+yr0CuMnTw3er+DIaXSOBLZhAxE\nBNHpojDe0NpyX/ndP8Y1v/QqO9KOAQiCGOoTbQ0vfeEzbPZtlwcrGFS3jVhjz5ZZ615vyIsVwBY4\nYjrs3X749c/AVb/8AXz1bS+JLstQvR6S+fmwKQFwx74lnH/6JiBfdvftgZEHU6K2uG1ChrxIFPJj\nMaDd6EE/yCZ6jw0DuijAMmnUtWHghpvvwhMftydkYve65qBbq+sNMyn6qtQvMweAtTDfRa9o7+fj\nUW0xE9Wq6/B/qWufH4thM897XbMDXt35OacXqx8yBoNjS5iZn6nq0qhRzbNVLKAbU6BZrgJwOzPf\nCwBE9CEALwbw3ajMiwH8KQAw8z8R0UYi2sHM+6aqLB4NIGqUUNmpjAJQq8pX0QqWoos5GaXouCgB\nVQAVdhBGApRxoGiS/XU2iQ3e95OX2C8/qrZHrtUlmcRVGtVhSQkstnonXW8xCnSNADgMOy/fOFVO\nm5tknARdGz2Uk4qBSh6tRqkDKSDSCw8BKD78EOi08Znh2+s7FVg8IZ3Q96t4Q+kzbzMjTGFiJ9a1\n+wyA655yGXLDgaXwIKuchLecL864c1TYV9fwWWuQlGHqE6AE1L5N2ClPfJZuO5zcG1xBHIyopJK9\nuOoXXmlBn7W4gX4irgF2NsMAyii3ru1cf6GMB1WuDLPdb2yW9qKfIe2mLpN3uFF85f96JtSxwxAR\nVyMAmGODyrt57qKAWToMP+Gyn1+O/ITPRFE2boGXve3j+Ms3/bALE7Hl7WTLDIIEew8fmzAROkLq\nBgaSBMbp0NR0zQxcevE5lnmM9k2ia8tOlm2qbjLadO3ZpVjX2cOHML9ty5CuWWt0UmnZJqd7Jpux\nXXtdo9rmlpZ72DCbAkaXAMoowCjc+Y/fxPlPemzDWzFeiEYHlo+wIGcAuC/6/37YPm1UmQfctu9T\nENU2kmXEIUNxAxNKSdO6r7UJjqkb7BL518s1G1hmxnDT9DtbANK4OBufnyQ6T1PMVNMNNrol2y7T\nwCwtJqas2mrdcuup6xGsYdM5J+HHDAO/99X78bqrdgNc1XXsWjXu0pO0nxLYNlxzDQAKGHn7o+SE\ndELfj+LbZjCqxgKpYFij/7V7bZQ2MMwoNNfAlv/fsVqu4wlTotTbT2EqwePBsDbMHVedjNf+KmdE\ntQNRWinMdlNnVNlaWQH0ehk2zHXLFAaBVmELmowGjLLgSRURuFJ22hN2c8WpAtDKzhGncvj546TW\nMJlGxxgYz065aU8s8Gjon0TkBQhTlkST8sra/HFCgJIOKEnwV7/2HEANAPKT8UqQZEAY+PzbLOA+\nQL1LvnzR2IOnmm693rxODTfrWjk968EA6HSD7kfq2t8qtet6y1wHxzKFl7zi/8bff/B30Cs0JNmP\nZCGAv//MV/Hi51yFXLObMxAVXUvh23O1X12c6wJalaDY69VonH/lxSBdtL0eI6XJjl5//fW4/vrr\nAQA33HADANTzAJ0wOblBVIO0GdW4cdXjXtYEqloknD0y2Oz+/cf7l3D1mYtl2Wh/3DYo7nwmqpTB\nkiIs1rVWB06tx/Pk1wpxA1GNPQvjv9R8sGRr8tMGF94qsnNPouvG41aJIGImaZS87qrdtWPseuxa\nDSqFB19RW2xgo8rS9U1rHOFSm2Pr+uuvx/Vf+MKaznlKJhfvwjHRrzeqlV9nUAtjJ+FVzDhw8CgW\nNy4GI1oYHmKu2IEqwLqN6hLHuwgqDSpgmadEECR5Bp8glUEqBVLN+NlffQc+8K5fReKAlZSJYyPg\nABSDmDA702n4IOGSXWJdBVBG4d+9+5P43dc83YImVQCqAHvgVOSWhVIFwsS7Rpfrbh7BIE3zyIV5\n46Tta6UECTttycpShoXTFjB4aC9mztpjQVLaASeFnQBaJqC04/o2A3ACMIOle5tJWBQV3I0IoMjr\n1zCgI12rSNempuvCAMaYoF9t2AIpSJiBCsyUvU67rq2+2U2eTIFdIhASSegVfUgifPB9v4WVXEES\nIZUCiWBIQfjBZ1wJZQAmBocgN6vr/YeO4PTtm2xsFNmM5BZNmkjXXOpaqyqgmkaYh/qv6665Gtdd\nczUA4OGDB3DjjTfe3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tWFRj5Q6A0KLGfl+ZczjZXMGvZerlGs9CzQC6CPy0WbABbefu5T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SUHqXTKFrALCUQLtCCtJ96wbQGZfVGKixrjIdqDL3YAuYoqH1lHK8Yvl3WJix68KzATtCWRPI\nGR8DVQg7EQBUPoQbDTwzlcMORyV4snkBV9jyvXS4t2Dr8LQnnYzi0GKrrokIpKg0qOFPe1ZCpQl0\nlsDlCVRmkPQM7p9dh53uMNj1m2FOeN+/3I5Xf99F+PCvvQfX/vfXC8serFmNjeJw+XAMXPgH7xJW\nwjNPQ2Mx9AZ2ZISJGhpZHsDT4m23w+7cBfP878fiYo7cOO8OrP6Cy7ApTVeeVoReopAkMxgu5sgS\nhSzRyE7cifWvfx0WC4t+oko3neO6N0ETgaCgqbqm7Ixz61OUc1X3BOYqmcAYD5JGJYDifIjX/No1\ncMMFAU+jHDb3es4NnKnrmq2DM6JvTIgVUlqN6VqYqKTSdZrAjgok/QwqM7h360XYuffrgHP44G//\nJV7+ay/zSQfi7n3cSevAHLIEXU3PZYFNZnzl1rtxzhknwzlg6wkbMDQWhRN9r0TEnXdke+cR0QZ0\nNBVvbDfWkJyZ8+Z2sRzbICqWSUXHmgAqWl/arNXWFZrESvh1ioBDhcN8GgIuKyD1jNPXy/uzn1A3\nppHRDfK1hxdw/pa5+ik63gMtbp/5TVOBp7ZvpMuR2JpC7ZmpSXZ/qfUdZ4tP3Dhgt64nLlvW6eP9\nG8HjEZjSrijHRGdcFrau66em3/a4qEyrqQsJTitHi4k6LlNKAO9lcUXJwmPjWYnSveMBlGcqzDCH\nHQozYQY5XFHAFqYysP6PrQV7xqSrOn3NqKoKRKlMDKsrUjGw/njb7X24faBwxtZG3pvS+PGrTgGK\nHNe95VU+Q9BFrIS/ZP/3Jx+/Hte+8Km+sKa4dgobWCdG7l09Q/83KARALeYWo8JguP1k5AODkXEo\nPICKXXs2lEBokVAkM3bhDfxrogi9VKGfOmSJQn9uHdzQwGYa/YYlJCJox0gsI1GVS1JHdffq+g56\ntqW+Q8KAuPCGNV274QB2VAh4GhUwwwIuzytdFwYuACgPpuB42bqmNADm1P8lYOeQOIcdd30WrtcH\nscNLf+77xLVI9QQEScDRpZ4lBEIkxL9dcPZO5JZL9gqwNgAAIABJREFUN15h5W/l7rzJMZ0rJAZ+\nES1NxeMNOhqSXwfgA5MO/NgBUZHEZuj2Aw5nznr3UBvrsETdoaXsOwPjgKcLULEHUEFiIFVz9Ywb\nU86HQqUDOH/LXGeNpqFxOJRbbJ4Vt9mYi6/lBlsOF9MFrOKmvOEcRBWlC1RgqR0qdJxvsAg1E7Vr\nabJQ8chr7RBWoGuvv4dzwpaMx+KharqOlwb6ugmmaBpdizy8aLFltj0OLYxgUDj0ksnFN6cVexQq\nlh+XZYrPzqNw7xlTxjqxd/E873/fjI9cfQL62sEMR7DDHGaQw+YF7CiHHRU1t14wrmylSStb12lw\nlJZYKHklGCbMzGYlM2HTBKqXIiky7zZinDKTiZGHf6BSGshHIJ2ArYkKgbpy/mQAg0cPQs/PgwG8\n/OorkVtfXNOhZCUKx7jxptuxZ/9BXHTZ+SWAGhYWCyODxZEpwVRuXO3POGFhOLjzOgxpmJOUIqhE\nQSlCohQSYsz0UuRGYWQc+omS8gq1Y8lrqA+VEJAqQmEBrbTE/qAqKslMGB46jJm+xIaFeKjAOEpy\nQF7GQMUAKoDl8DqNrk1hQQx8/NAcrplfgJ2Zgx4stOpapwlsqkuXretnsHmBpN/zx3TQ1pUAwCkN\nFQp0mgRsCkkqUKLnd/7F9Xjjy581ZkcYKL+P//WBf8KPvuQ5KBxjaF0tEH45ws5N7LiwwsDyq9He\nVLwpcUPyWQCtCTSxPDZAVPyD4bohPXMeYKRVIGdtnzGEMWbcR1/8P+hd8dzOU5f+bv+pPGI+ALIZ\nHDLArI4KabYwSzWxBaDH46KGKkNX+Hx8Fb1ElYaW8yGQCvAidnAg6Qwe1mPsG1iROMikxMy1WKnc\nyBMdIFQ4RW0VYiAVs1FNgFUDUE2J9T72g1xC14Ckl9cWyFi3ZB4EjtWZqZ+Ta4DKg6kGaC4/FyMg\n63emJXYBqFiatnA1ujvWMli+66QGNnx5glDCwBTgYgRXFPj7l5+MRU5h9u+BHeYoFkfizhsVYmS9\nYXW5gc0tbGFhC1eCp09/+SFc9bjNY6cnJdlapAlKk4+PIeTOQWcaex9x2LR5Dv94P+PKExlbWVLz\nA9OREPkq1pLdxUUKpCkG+wrMbk4AlmBkZgdyDg8eHmHHvGQEB6MaXGTWCvDJrcM5556GnYXFYmFx\n6P7dGK3biEFusXawF3vtGjy4ew/S+XXi6jMOxjg462A9gLLGlaCnzUZLnUlxZaqCoLSC8YBqcXAY\n82tm0bMKNtPY+/BebD9RMqb3PbIfJ+04QepEkRTmTDVJkV6uSLfmlNKfnwVCo12u+uNxqAFVeDZq\n5GPdPNtoFgLrOIIZ5sJGBRA1KuCM8/qudC1gyuF5GGF0EMDBEQzElQegoWsDnWnoTMMVCZx10Kmw\nUOyq7xAkut778AJOOGW71IIqfDaf6UkdKXb4+Wuf7F240S0efSeWGbOzPc9COUkiMCubg5ZkolY2\nt23paCpeHbejIflSB35sgKg4e6pcVN3RZWXgcl3T5dPNOJUAKv51TMjPD4aZM4E88zrEBURMRWxc\nmwxFAFCN+JiZKRiIMZdPWjXs3Te0WN9PSgDV9QywHCZ0rASST+sNI011BayUX7cks7fwKGhu/djy\nqj9grOuOwTaAdO2bcW48KH5s/2XqehIDFT6nvbpOlwLTLbImUzg0cpjL1KrB77HWpPO7VuJGtM6C\nfQ0oOxyC8iE4HyEdHIAZjoSBGo5gFsWw2rzwLIVFMTQ+NophjQUbMahPPnU9ioWipm8BEcGoKgFU\nwagWDjq3mMs0zGCE5611SIyFGbhqPtXKu8SkLAKbDDAFyBjMzK2pA0Qvp550Qsk+AcJWB1eeYXHh\nFY6RO4fc+UDy9ZswGBksjAy++q39WLe9DzW31rv1BEA462CNg3MO1rAwUcylIY0NKikqXxUFJspC\naQVtFbTWODwyKKyCdYz+2nVYzC2ICHNr12KQ2yqrzzFyy0iVQ6EILlFwTNh/1z3Yesausd/nwcMD\nrMsq9y2TFvBkC1+2IgeKUZ2BGshnE4Hm3fcfwsb5HlxhYT2QYutjhFiudyldq8RCparUtc4kpop7\nKcrALr8viKCUwqZNs+IN0VpKIDgHtgXIZXVde+RaAlkPlJmBl17zPfin67+CSy89r9T1SiSA5Vhu\nHi3ga7mwbreNFgHgzOZ+EwoF/2rbaVr2bzYk/xgRvZSZ/3zSeB8jIKpFOtmpZhZWtyF2ILSaq7F9\nxosqEnPD/cMYOl3VoGoGERcDYEKphi6ZBnQzM9Z7p34bJ7PSjNAurFFS/dH5Y9feJLdeG4ACMLHB\ncmdX8yaAajBlrfsA4MP7QGs2YhEZZsdiBqfQ9RiQisGTvK/BwWj7fUODjf0EbXCTGZjLjow772g0\nID4uy5QYbDhXsVDWQLGFMzlcXsB6FkKAlDesg2BwLczIwuYWZmjgjIMrHGxh8Wh/HeYP7QciUBGE\ngkENbp6E4HIHm1ronkZihNmIWYlP7yE8eydVQcrJCDpJwabAPV+/C6dccq6kxEfX1OZCD2nvcbq7\nKdkJCR4f5uLGG+QGi7nFuu3bsZhbDHKLIrcwRkCULUEUy7V791tw6zVFKSpZOG2UuLa0AE6XaNnf\n6RqrVLaDUcI+JSTlD4wmFE4y94xjpJqx7pSd43MyM9bO9YB80bv0HDBaqJIIvPvWjgQYxwyU8aDZ\njgqYgcH62RTFQlGyjkHXwaUHZjx4KMfWuRQf1Sfgh+2eVl3rVIuuM42kL/um1pXB4IDMQAKwRddK\nJ2BrQb78AmX9OoBih0984VY8+0qpsxu+h+DSs8x40hXnY6EwMD4uaiXiMB7zdl42i/My8VoccAbf\nMsPbx++77kLBRNTVVDyWZkPyv4I0JH+Mgqg2y98aRNwFkjrYpzhVfqnn/dEi0JtF6coBasZTMu8q\nA9ongwpeRBDCuRYANQ1v0y7h5jWOo3587ezTUgCqs+dWQ4Y+jiA+V2zui0f3I12/oTznGIvVsgwA\n7ti7iNM3tbj0lgoObwCoVrDcVdpizUYAwCzGky4eHALb+lXw+IATzJAZ03VnwHjXhXrZ2E98iYdx\nl+6R5I6OM1HfaeHyj5il7lJw8VhTuvZCYLEbBdapgBmMUCyMYEcCnIqhd+XlEitiC8nQmzmwR572\nedzFQZqwb2RxwlwGlRAoUdCphU61gCdTgRFAfvtXrQHsiMqsLpcaqExcUjvP3Fa2oCmb6LZcsaS6\nCzPBkKnPuKoyeVXmwOHee3ZjZsNGDAtbB1BF+PMgqghMlPPYrT722nV7FooUwWoHpQlOKzz6wG5s\n2LETHPaN5gutCPrQASRbNyPVClniUDglZRU0+5Y0qsxIi+ftr9x2Hy4+dSPKzDyOqsuXFcmlDpQd\nRbrOBTTbQe5Bs4EZGpiB9br2rtvcgygj7lYwsAFAvlDgajyA3F+zgCiFz/Q24pl0oARQ/zycw7Pt\nQNy08UNxGYguZRBclkClHvBlPZCzwkRZCySufJB9zhPOwcE9+5Bt2uh1zmV5CGPjYpsrj4myDOQT\n2IMVTm1/C+CVAN4G4EcA/E3LNvcAeCIR9SENyZ8JaUg+UY5dENUi7aapnZEa23ZJo9ySkdWbYNwp\nLmHQYVzZAaMB0I8y7SYZ2Qnun7sPjLBzXdUHbu9igU2zaWeAZRd4ci0rCsulay6WuApwzxe362Kk\nknUVwxRPM+F9F2SsAahvfxXYdT7Qsa1xjKTy55bLxwDUsnSN2ve+rV+/n2ZQlKNZUtdtWZttOl2i\nxMORgD9dWTzH5T9IPNVBDIQYmdCuRSqRF1JEMzfCQo0CgJLX4MIrjevQCDMzshUzYaIClI3fgCbC\nPAH5Yg6lFVSi4HoazjMaaQioLqljmfMoKtCoUo299+zBttN7FYDyhTgp8X38Gm69WBxLOxfjGH/6\nof+D77/mWWWm3T13P4C1mzfh4NCgpxX2Fg5FblHkBsSMwoMHY8St5YwwTwKkQlyPAJdicAjpzLxU\nY4eUdVBa/rRWcAljZsM2FLkBsy7nuRFJDKdWBD07j7Sw6CUauXHoJRXwC21nAsMWecRw0dknAfki\nAODjb30/XvSm63y1cVNVHfe6vnXPCKemxicQeAbSA6hiMdLzyMKMTAWgvDtPWt+Mz+GhN6DShKeM\nHkaeKuhUwxnGU3v7UQx0NLczSBGMErZRJVqyNUcFVJpDZxXwIw8Gyce+hZlp/oSNGEUOF/YuvZJ1\n9DpfKRPFmAyUVjg/vg0tTcXjQsETGpJPlMcUiCqloyZU9Z7BxQiU9sbXRdt0qyNinoB2QxgZyLG0\n9lgCgCrdPL5NyARpO1YAUGFYTQAVX2EbgGoDT0FS3T6esE8MpiYBqWbg+dQS9HPKhQA70GgB8DFn\ncA6HDGE+YSTE9e3DgNqOVVs2SdeNfcZ07e+FaXTdkGm2PVp8kc2Pg6hjQuJ4KN/mIzSdtUWUhZX7\ngOK8gBlaLBzKoYyrQNTIwAzFvWMKKwaeQ6sNOVUVVyjxhIqA1BISxUgKK1lZhsE9QQTyQABAkWSz\naQXrQZTODFxmsHnznIzZOV8w1Hk2qvv+CiBDAo6lIOa1P/wcHMotjBN33oYtm3FwYDAqHPYODXLP\nPlnjUIyq96YQBkqAlAE7A2eNBG6XD7SA8UBG+UB4pzRUksEqhYR1yUAFkTYpFiNFSLVDXjiMEofc\nWIyMQt86WK1qzZIZE5h9dviBX/kxIF/ArZ//Gs664CQPoHJ8/Ov78X0nKZwxxygWTBU87l14lX4D\nG2VgcguXi66NYxQtug7lHADxSCSWkAZdpw7OVKURYgllEGyqoXIBULqXwhkLZXJx6bmqV2P5kNqY\nRzmEOUDYwbIBtUPZxmclwi0PBfX1y581vYvuWS3Ly0LB/vNbsMw2VUcmAONoyqQvrMtdAywBoCpU\nPd0YOp62YuarK0arXHZkzGXbUaYBUPmUTwV/duP9rfvXxsDAgaGZeJzVXC736jWy5pPKfTBSvdq6\nGmQ7Aro2oNXrOgb5+WD8HFNml6wmwa6sdtzxd1yOvpRAI8TJOCeuXGdrVaql0GJw8YjrTjsu46CK\ngfyZocEotxhYxqJlDKzDwDKGjrFgXe114BgDK58H1mFoGMXQH2+xMtp2aGGHnvUKBR9zA1cUZZX0\nsiyDMZ5Rk2rmbW69stgmon53zGWxzFCyoKwb5SuWC2CyMAE4xO9zg3133gSbL8LkA5jRAsxoETYf\nwgwWYEf+NR/i0Xu+gWIk29l8INvk4hqMj31436MC1ApfPd04jIpqbIVP0S+ZKK769oVKSSWEKEGG\n2Imzn3COfEcedF595kyp6//Zf7LPtCxEB7mFGdoSTBUDAzOSz0HXCx26XnSyfOh1vWgdbl2zFQPD\nyEfVvWMiRtOOAptparp2hfH1x0w5brYWj9zzUKVrf62DvKj07b8PceVy7W+lvfMsSyJC19+xFu15\nDDNRywE5Ha6dliy9VT37R+zT4K47MXPqaePHHwsGWn6WVpBJ9+C0aDwAoKzBNnXt/bJLd3QeJ2ak\n1vaqW6cZHxWOv7KIL0xEYD03Kt/XdS3vDzmNeWXbwc0UkoRGxbGukznMmIXxMU6j62w8maCtKvkR\nwtilHI+J+g5LzbCyMCc2cunZqhq1K4y4a/JgVI0wTgMBVGYkLp7ciMHMG8xEzFAAgPaMrfbp+pYB\nQwzLBJcDPQAP7x9i66ZZkLaS2ZUSbK5h0wK6n8J6o6/7rnLjOeNju9zEuTTMW4FNKEsdREUzi6gG\nVABQ1rK476yDLeS9yQu4Isfclp0wucT2uCIXMAeUrwBASqO/fivsaAhOErCz0Enmt8sAJL5TEyGZ\nmStLJ4SA9+BqDAU+nWdWAssSX1up4ri0TVjIviimj4tyEeP4k4/+M/KyGn0U/5QLuPmcncflw0cw\nNK4EDZN0LWwUl7resu8BDAiwLLnNGYD3XvFyvO7rHwZpBZt6fScEnQrbWOq6MAKUI9ft5h2bomuT\n15ksxSBMr7E7z39Pha1A8kpkSXfeMTa1HftMFDxgmGgUp/hWJwGoWk2XyX7+8kYKAKorDusIarr0\nZrexTBNO2ebCmwZGdm3TxkjFH5oBm/Vt25a3gJDOE4gU/9KVKCHbzqtqUm39IbbqetJ9wRWAOoq6\n5sbraiW4QLr+ViJE9ENE9DUiskR0SWPdLxHR7UT0DSJ6Tsf+G4joE0R0GxH9v0S0zMaVjx2RmmPy\nPUvskbA3bMVFUrnyCnDZ1sVKavvIohhIDJTxjEJuPBNhGSMnbVQGEUMxKt87LBqHoZWChyPPXgS2\nYmQdRrnFOqUErPnMPzsKdYnEoLJ1pZuxAn8eGJQlZbrnA8eeePOxMtJUOAAVKyUOfJC59bWgnJGY\nJ1s4D6AMXDGCKYaw+RA2z2GGi7DFCLYYCRtVDIV1KkaeeRrAFUPY0UAYqnxQrje5gfGAzRkpmSBu\nQofcV00Xd1RVHT3E+ljrqvmPx3/yQd8ElCwUe+bR2QCaLd7//i/B2RA47r/zkYUdSQLB5QseQFnG\nQSap7j6ma1fqehCtC7qWfbz+c4tXfe5PPCA3MHmVpGCNACg2DZbaWYnbLKvSY3xuRrA9daDsIrC3\nciYKk5moYwxFPQZAlMTZlEZrQsAsFUPcPYgCfctDdMCCSWBp0vopjH2XOaSH71xiv6Vlmp5EY4AH\nkA7yy5DWq+oYsyPqjIdi1DP/uOVdLGNFMH28Aw7tQ/r062TZRMZRPtfIt4m65gnrG2NsXD8ND45t\no3Z/o+M84/t3yWpceUBkvDr+Vig3A/gBAJ+JFxLRuZBAzXMBPA/Ae6j9ZgitF84G8C+Q1gv/uYV9\nLBFzCUICE+XKPwFRN922F3+wb52wUqbK0Cq8cRw5Rs4eRHnjOvJGdegq5iJsOwz7WecZjcrImsKX\nTcirAGYXAtYj8FT26vOg4MNv/1g1BzPqjJtfFN/jjrkKfvfA5F8/8VnPOkUAyjKslbitcrkZwRQj\nuGIEV+SY3f8gnMlhi6H8mRw2l3U2H8IUI1gzKkGWAKtcSkmYHM5IEUtnBBRZWxXytIyy/EJw6Qm7\nUmfWuHLitas7Zup8YPa/fvJWOOtw15178cqXPx5cVAxUKGFg/PvCeBDkZP9BaJNT0zXXde31G96H\n+yQvde18pp/P8PSgyeYON35ldwXmfdD+b/zkHwOjgQ/grxpRt4mAJ5TxUSXwdFxrDr2snwz7WLqO\nv2MLQj0mQFSHxPRpkKSHXTNTGMJ4/+Wcq3NZdfzOulSAsDVbTqvGvEx/Vzhyqgj3HxrV10WnJVf3\nGodVTo2n1U97zq7PE/cdY8aaW1RfwME2fBfiK0JR0fmNk0+YD6YDvZNkGboGM9g3iI7FbT93fN+2\n++IoPlFNmoRW6ulj5tuY+XaM37lXA/gQMxtm/jaA2wFc0XKIqyEtF+Bfr1nZSB6D4tmokKUX+qGx\nc2UbjvN2rcOPz+z1mXdcuXoYPpC8Moyjlif0kWek8siwNrcvoqd8AWscATr2xR2rcTlfWwgeCL74\nDdeU7xG6p0UAqvyLXE/le29YL3/6U3D7TV+HcVKmQICUVDa3hrH14MMe8BQCfgoBQQf7s7Dhc5HD\n5UMPqkZ+uxFcPhJwZSLwVBTlZ2usGHnPQEmrOw+qHI/152NMfvAofMPiV73jb6v5CkDIyGRr8aSn\nnQG2DiefOC8xSNZKBfKg40LGcseBoS9SKYA3BkqTdB0+j7E2ka7ZMmzuwP66w/uLztlU6t8aaTPz\n3979MgGDYa5zgXWsfwdJNAswR4AKAqbMCmMvl4qJWu0D5pGWxy6I6hJnox91B0pZSbzMEvu4wwfH\nlpV0Zqe7aPnDCLJjvte5zq4wBqtLmsOMWa52bBBNJlMeea1uARsdDFNts3j7lvijleh696j7+3u0\nqO6p9jpk8cQzQWi8qOeRlKPERHXJDgD3Rp/v98uaUmu9AGCs9cJ/LhHDU0vJh7AVtUB/Y8seaQcP\nFyV4Oqz7MA418FM4jgxtYx1XxrdgyOfwPoqtkTR0KXUQ2sgcXvAsjS/A6azD4bwCeiWLVmP4p/8W\nXABTHqDsfNy5ZbwRc6hCLq1d7u9vklgiKzE6zhoPgCpA5UwOZwVksX91ppBlvtWKs0W5jq2Bc0Ze\no3pTtZYy0Z/zrzUXZYvnPyVhsN/14ssAMFxIHHAOh/aKTeAmaC6cuDqLAKZk2Un9tMy6LBhltffC\n1cFvl67D+8+uO7HUecjgNL76+xftnNezi1rKeB2zAOoA+EOAuVwEjxEEcVcXhzDvV0zUSsEOY/L8\ndaylxTwmQBTvvmPS2vpHVfUoG2sHA6wMQJX7dt8Vam6+9pmKYRRAXAdTpbuqq1zUYByQtck0VzLp\nPg5PDuGG/493NUeAxPj+UzGw6ACDj5gk2mw60LUc2Z6Z8S/Df16fdnxRFaqbeOzREjQQhT5cq5Tm\n09tNo8P40OGHy7/O8xN9koi+Gv3d7F9feEQGVpdj7JnyCAsLM33Tp26QDwyf9eTBVDCs7KuHW4e5\nVEk6vmX0Fw6LASwNiBguw/9/e+cfbMlx1ffP6e6Ze9/+0kralbS7klaS5V0JhIxlkF3CDi7/kOXg\nGIoqiAOVGJLwRwiBkCpiO5Uq/kowqUowBEIlQIwNMWA7xBEugYXjSvTDwtj6gSTL0q4trVZaSStp\ntdqVtPv2vXfvyR/dPdMzd+7Pt++9u2K+VV137vzqM3Nm+nzn9OnTZdxIYTz75W/0XC0nRnglGOWl\nvrJCaaRjvV1jQgZzTywefOg5Nklp/KO8RWKgEXj6r+4tR2tFj06Ml+n3K14pDftoP53SpY9PZbAc\nvDnL9INXR3vLnlT1AiHqLdNbWiwIk/ZWwj7LBanSfo/+SkyNsFLWV5C3kjSlXqh+ICD9pEsvEsI6\nvvPAAcBnTI/Yev7mKlkOJOXXnt0CvV7QczkvXiRNKXEqSFVBnEo91nUdPThveelIMaqwBwWR0p7y\n5qUTRX2FF7QgeCEgfkS7+djhpO3Q1PPou/NOPnowkE2v61kw3hM1X83GOUGiZNcbADjz2IPDdxpx\nY4dt0SFG+mS/udvr/xw+VTvBkG4eQhfU2KSPzZLpwmAX0aSYfNReuRzDV4Y1EHHb2Ufi0cqHTETc\nHxzQusONTq8w9L42ZAkfcZIR/ye/G3We3BmSk6s4czIf4mpQ777b5zbzwws7izK0ftX3qur1Sfme\n8PtnI6o7AlyW/L80rKvjqIhcDDBi6oXXD8Jz+Kb3vAWA+//vw+WmSEziKL2QBDPOjdbv9ctRYVaS\nnFBlAsjte3dXRmxFkvXoeRcFY0xpTFW58/w9yf7+iz5240UvkAaP2HXX7AheCYJxDd07kUT1hg80\n3/O2twysix9r4GXq90sC48MRNTHuPU+aQkxOY4m5onorgJb/i+290ptVP6bvu/Q2545iDr6alzYS\nvKAtxr3zN/y9v+P37GsRC0W/z+HvvBDWl0zsFy56pdBxJMz9SC4DOS49LxREev/73hGWS11HohyX\n474rqpVnpqcU3k4CiYy6jXJVyH30QtViRfdfPrztANiy/40D+p4WSkgqOqTMF4U6R0hURL7/TQPr\nIuEZZZpKp0X19g9LGLfNNAdgv/vy6ee+W29M8oDVn+1s+RSLyYitWYn+9N8dE3RnJZ7FAjUBj/dq\nmTqGdJNJb1Cvs/ol+wOyz9ervQ7deekNuBX4kIjkInIlcDXw1w3HxKkXYPjUC68/qPeIf/ctN5Wj\ntvDder/xhPVGrTBgVd30VFkOU7REotTH/z7/xJHSQFKWq44f9esiUQp28q3Hni5GTxW2MxpSHazb\nyzPCbM3g6Y2GtZd4gIDQrRc8Gv1eiMPqB0LVL0Y1FiXGHPX77Hr5xUHCpUlm8zTEozhOOXlqCZTq\nHHxahmFocp/qDuRK4s7Kluo9uezKC0ui1k+8UuGE/Z5ym7uwzEZOmaQ31XVP4aE/v2NA10vGFkSr\nOKYopa7j/fZyKEd7zl93vOcJqa+GVAxceHH99c/KIkfUKttCfx3D2645c0SdWySqPmoLhhOeZkx3\n90/3ZoxZGaLlp06caVy/Krz07NhdzIuHR25fzjZV5sWb5C7NkjV24BzPPLbqcwCcbxs8U8Ma+JXq\nfHmzvgCj5l38Ut1juQFY6o8us0BEfkREngLeBnxRRP4cQFUfAT4LPALcBvyshgdERH4nSYfwq8B7\nReQx/LxUH1/NNZ5T6Cv5qePF30ik/sXe5TKGsFd6BDR6oah9mUdDVXv/0n9RvcfzhQGjm/pWeqEr\nLSVQhUesISj4wPOnJ3rv63vUZY11AiwcebIkb1o2nSkRuvjYkYIchY0QtgE8sy3M45YSsJiCQTXx\navXp1wfdxHufELphctc/Pu7/ky/WLrzf3HgmBKayOij4lqUXyrgxSgIV6yxkTLZH2P5gShdNi5Yx\nRBq8UQA7G+YNjffzx/+05iDu12ulcSR2Id8qvFD+OsYl25z+3KPSs9T2u0VEHhWRAyLykUnOfU6R\nqIhp7PfKN/5i5noW7GwPwul+M/m67LzhweAz44JdY3fp77h85PaG3I8TY1Yy1VeQ3ftmr3hWhOR7\nE2GSa1OlJ1VP2PsuH9I1OQIr9/7l1MeMwlp4olT1C6p6maouqOouVX1/su1XVPVqVb1WVW9P1v+M\nqt4Xll9S1feo6n5VvVlVX171hZ6DGDl7QG3TvS8venJQdZYUu0WS1ITtSbb8ichPMHyPLw3mYNa+\nsm/n9F3NZcJNrRC4iNN79lZkbMoJePTC3Ykcg92IO99wTTxB3GmMVJKwSa3s3i8Iy2jS8K0XT/Hm\nv/8BJoXO4rWL944qGRo495B1lTguytvTT9hWv6c8e/n3VI797I9OOd5DlXt/5RPTHTMC0fM3NMXB\nbM1XY3qWFCJigN8E3gd8N/APROSacSc+J0nUqEFNK7Vh/O77bin/rCaofAosmMm1fDY8OqvFRB8N\nQ+ScZq689BSrIW7rhgmvzeoKf/n06gLC3VuDBlnYAAAVtklEQVTeu6rj61iLFActzg7qswekOHT9\nTZX/N5xXEpcXzniPa5guuMAkT+kk76mEl/KqfEzMYYopPA7jJJCYa27U6OKGbS9859Gx+5g6+YrC\niFR2NyPuU9pWX7tj01T2ZJY5RW1yTCVXYv3cE5zLZzZvPnDX4Yf4Vw82hE1MgTd/9F+u6vgUfR2X\nbHP6c45Iz5LiRuCgqj6pqsvAH+PTsozEOUmimhC/INyIhJIqq3tQzhZSN/FME/auAwbIXU3OWeSe\n9VKXZpmdaIo0D01ft004olsa6hH6qrz30um/0psI9Kwzn9cxqhFaWoWrvcXZgRhT+V1BECNc8dBX\nEevX2ZAFw4ggAju6GUakKMU+o+pJlutvREoYIoEy1hvrKENleyA5lWS/DV9D6RpbkxfA1o6JdZNk\n/fCEyoT7I0iYWDglWfHelecxxT7pu2XChMT+vM3tgoRJmIv/NZkBXK2+gTZmyLk/fWzPgKwAUiPT\nTR+WhpJMmQZdp5Oc2/I2xnmlK+TrJy/5fow1mKReY4Wewn+6vtcoY7WmOkLNIoXst9/+1eG7T4ge\no73oq425GoF6qpanaU7VUsHrhkRN9KU1bJ/+8C+vp2YJbxkjS/3l1L/58gyVVLHl2EFf9QT7jorn\ngfLlmxZr9TDl1PUz3Uv07Kuj4+akKXi9AXvk1cb1Xp+zkMrBY7Ixo/cmxTrniWoxCp4JFbnBCmMV\n9C/WeL1XsntEkuSNoBXBhcx3sVjx6xX/7qUlbju0fWdY9tXFOdZidcaKN+Zp3ckz2GRYc1uV/7d/\nbHIvREH+jFSIy/Wf/g/hlJ4wIaa4X8aY8l4Z668/kiJjkhKPMxjr/L7WUpIwU5xfxNctDcwlpqaJ\naotlGMa9TR++6NlCVsR75OM9NtZfnzVBp1R1ZEV4Je8Wy1aqehZ80stItGyQNe5fPg/CHx39eqmH\nhCRbKUlznTzD8ItPfWOC190tN98U5Jy5Hbv7CU6xlAyk6Ck8pYt8TV/mHj3OY7wGMBBgvM7pWQrM\n8QTE6wgz/DZcNnF4S8NDM6E3RN70nkkracRLp5fRC/3Q0vpXWHOF/uVqckgMayw23F92/BnYfolf\nFjNVx/iuLdNnah/EbHdgo+hK22U3ZwjGPW0TxJjSaElJaIwV7zEwAj2tGFQnSi/81+CH6BgZIMbR\n4O4/+SLWSGHYSmMcDHLwTHgSIog1SPwfDasxA22ZmmjC4Z997hOVeJ1hb4o13qPmai6VpVOv8PBP\nfQRZXA7eKPHeI2tLD5SxSGinxTqfQkBMpUstkqjqMU0lXKuURE7iPYnktdIQNnjbhpEEY8FaMAZM\n9KTBXXc+wY3XX4QYg3GezBlrEhkMVjSUlEgpFywvsizR5yR0DSwmjXfc10mq55SIBUJY6DbUGZ63\nOoGScN/jNVR0P8Km1T++6x7HSaCq91wmCxzgVa6lzL24my676fIwJ9lDl0N66ncajl1tTMQRIA0g\nHpaqpYLXjSdqqPdnQpfrZHWMOFe9/ibvVpGPKe67OmoS/ScXZMMtZlpDnXekX1njvrY2AstpwPb5\nu4fsNaKxO6u6luHbKtvn4ybGjMbDSot1gGkYTyyRqJjSMxKJjDWYgsx4I5snBCgLBCQLxSXGNt0v\nD9syEb9/MKRZ4p2IhjoSp8KgBkLx7cePF3LGbjxvWL1xHeepFrzXyZg6OTGFZ+3qnZsRI2zJXEFm\nvKF3hSfJ2AwxDuuywrgblyM2K71NxiI2C/uHY23mz2McJh5rPREzxnfVSfyNcibFy+plr1/qZO2k\n8LmXdnhSaA3veOcbivtpAlEWI4gLxMZWCa5LiXNN131KwuT17v/HZyI91hbPQPU5i0TZxOcwJcyT\nQkqvaEXvJhDmyc9UwdMsvv1+TgyMwltBuZ+TPMnpwURk02GYaF8HrhaRvSKSAx/Cp2UZidcBiZrF\nA9RwzMqY9APTGuTUu3WWp2EBkN5y+YhNOOJsVg9r/bBKfEPT7Y+u9xHnPHlmfPBqprV9RpIXhlzg\nDBd9NvQ1ojGKcU+y+Mrq6xmCtjtvHiA1z0jZRVUQKWsw1nrvhBWMM2XJTEF+HBTGMBMpjGYeSo9y\nuTCopiReuanunxvBuVBfNOLOegPvLG/cd2FhXMVIeJ5n/0Aw4g2rCSU/9G0Ov3QaY4T+ps1Yawrv\nmzGC2KwgTp4EOWyWY7LcEyGbeSLlcl/CcrnOHx+PNc5hbfhvBLE+u/g7r7u48MzYhgJlN6gxJYF6\n7IlnEjU3fHAZw4/tOI7dvK3sbiwIS0lkTNC52JIcZ0Khqyzq3AzqNy53ElJdnCOeJ5BpY8BmBnEG\n46T0StkqkfK6DmQ5dqmGa9Kw/FyYzuYbv/uZRL8lIRWirmdrR1X17vPIOEA1fOJRXmEnOXG07zQY\nlp5FRHaJyBdDvT3g54DbgW/i5wMdMZu8x7nbnRdduSITdO1EV6jHK33LVlObndqNSD/QaLybH5CR\nkszeT1w7jQxk305vgxGpBq+Pk2tKqGpBlEaNT6lfbvp3W8fBKy/CluGTCvcQbJy6Z2JiU7takfB3\nwjswja6b9Dlw0YPHZtYrS7tbB7adLbTdeXOIGPicGlUbDVsgMFkgT5mh5wwus+RhRFKvD2rgwKbt\nXPHqcUwSM5JOBuu9QL4dyBLDmkdSFTwXkagZZ7CZxWQlubPOha6+4KUouneigZWBZ73ulYixOVGW\nSEwyazD79uNeW0q6E6MnKsjVc6jNMG4FVcWE9kyCYdeenwRZNSSHFB+IjjGFNyoSK5PlCdlyXq5w\nbXcdeIG8mzWSqBhcHuPSUuy/cjcHv/JVrnv3WwvdFoRZvLftO8eXuapzmkOPH2P3zoWSNDuLcYLN\nLD3Xw2b+/uuKkvVXWA566wvkIVbKaDndT8wnFWVKu/9SshXJV2YEm1v/XAVdi/X1x+ewquuS7EdC\nmGr3kgu3cboP3/dPf4LTy0l3KoO6nhVPs/j2EyzftY8tWKTwQp2iN5MXSlW/AHyhYf2zwAeS/38B\n7J/m3GMtk4j8nogcFZEHk3Xni8jtIvKYiHxJRM5Ltn1MRA6KyLdE5OZk/Q0hyOuAiEydVKKwCSPY\nbTRqeubUyK62rTaQLxn3dSUDRvD/3X3P4DGjuvXq6PdC3XZqUjVu77vuvGPovrM8zvVG8dWlXvG1\nUUeTVszzjxfnueOOOxCB08tJru8hBCp2dxZeroaYtVoWl2RxCLEZoetCp41kaVDXvaNPAtB7cXyi\n0wG5wu/JMRkvV9u12o7OK7GhbZhISUAov/ILw+Usxvr/NrPYzLDYU0xYNpkPOs+N0A0G8brFE3Ss\n90DE0rWl8YzbuolB7QSj+u3eKb8cDLfNbWFgjbPY3GAyFwy+N7ImxvdYy9EDPkTk+MIlFO9MEusl\n/j75Vy6EHhtTeiecEZwNXjJrsKHb0jrhtSMPY6xgrfFeMdfBuk7hgbJZF+PysK7jyVGWY/IONu9i\nsg4uC9tcjsk6mLwTjsnpLS16EpHbwusVu/KyENwfjb8zwvHPfp7Qm8nffO1urAi/9anbCtW+8V03\n1bXtEcjm1TsWwFiuuuZijAvesMz5+5x5IuWJbKmDzJa6LPRb+98N+s3D8tO6GNabYn0mid4jcQrX\n/szJRWxueeHlRUzu5Sl0bdO4Mds8YwRw61fuKx/v6GUUiq5ST5Znb8Tq3qjVeKHWGpN83n8Sn3wq\nxUeBL6vqfuArwMcAROS7gB8HrgXeD/wXKS3ubwP/RFX3AftEpH7OIRBYPsOAMatknq59EXUaosGH\neTKk1hCk5eQLA7vfcfc96FJzTqCKaRpWX3wo05ipMRM1xqtr4gdpLXffdWd5TMPOBSmaoDun6fHf\nmldfqLF8MYljujMQvIXMYI49OaSWOmEZUcGIbjwVy2JT1oIhur7jq18bXldlfSB3F+9FAbsjJDpt\n0PU4nrItrw3Prv2uFm13XgUb04YF4v7C4aMJebJgHU8cfD54ASwms5jMYXJvULduy7G5wXZKktN1\nJTGKv11r6Nrwa4RN1peuERas4XSvz4I1dK0hD90+B1dO0xewucV1PFErvBS5xUYClVnEBbKXuSLQ\n+JJrL0eM5byTTxUP65nXfFLPgdghQxGw7WwZG2WNYG0w7sYUXqFThx/GZRbrJHhMHCbrYLOuJ1J5\nB5sv4LIuNl/AZl1cvgmXbwrLXUzW9eQr62IDgXJZB5N16W47PxA07+kzzi+bQKCcNeTOkDlLZg07\n3n+z/2hEePDrfuj+z334h7jj3/3GwLVq0LcfDUglwNyY2EVb3k/bsQV5sh1T6Nt1HBdcej6vZR2v\n4wl0/bQu0rHlfh2Jy57ImNyf33UdNrfs3bUVmxl279oSPKHx+XOF1/HYUiDOUbG1C/7gu24IowP9\n+sIDJaVnLBsY6TcdYmzUEv2zFQu1Jhh7lap6F3C8tvqHgU+F5U8BPxKWP4jvR1xR1UPAQeDGMNno\nVlWNYyw/nRwzHlln8A1N44CSbT0Eesv0GBxRMt7zVMXytnrmVk9DpJPMoTfOC1WT4cSZ/uC+Q7xr\nqTdilqScwxLHxX7rOj1Iy8AxNBOzYluYl66yz5DJdPsXxizFQ3JRjSRPpkxMXFtfyqOVaWxmQ4Nn\naor4q9V6klaLNtlmiY1owzR5lndesascqWV84PTV1+3xXoDMIc6TF5s5TjnH0RNnOJxt9USnawvj\nF4nUgpWKgV2wnjSlpWuFrZsXvPdCCPt4ArN5U4brWk/SOhaTG1zHeS9U7gpZTDCuYl1BAr947xFP\nDPIO0Xx0NlfnFDXROxEIlBEQVZwVcmfIraUTCEvuSjIjxnezuazs7nJ5js06uHzBe5jyDqa7gO0s\neCIV1tt8AZN1/fpO1xOurIsL613mAnkST9SswWUmeMEMCy8fI3fGe8qCtyw/f3uSViDmu4If/Lc/\nP6jw0FZo8DxGgizB65gSFZzf7vXrCo+gC/pYPPYKe2S58EClxLlJ19bgdV7TdW4F13VkXReeIVOS\n5dxWdF3Ga3nid+EmW+i8sJvDcmyFR90GL1TqjVoNojfqNp6fWy8UzB4TdZGqHgVQ1edEJLKNPcA9\nyX5HwroVfOKqiAmSWAng+7qHe07CPgFKMF42w51+CV3YThE7VRwSaMIE2WazCssYHSsztHuphvM6\n47I0hfMlcUdQkpN4xWkqA0MZm1S/XSbsN+oOjkMTGavwCRiI0TrrJCLRY1F3/WKTfdR1kDhYYISu\n+03fETPoWrWPNKXKCPEa4zBRaN8U+FvobZoW69CGQTQ+gqDJ6DbjHMZabDBk/cxhFhbYvrzCpt1b\nufWOQ1xx3c7qmYzQXVyh1/epDpwqPZVicuIUVmALPaxNRuxlBrNsyBYcrpOW6PFyhaEvup4ym8Ry\nWT5w417/cSQhWGfgQ8P/xKlF4ui8zFpsT0uCkhmyZU+qllYM/RDgbjNDX8H1FegBPqdTL4zA668s\nhUmJewNJcmMiThNG6UkIJLfO4JytEKjo7XK5pesM9pKL6biS2OXWFIlCM+u7JyMpCP6ZajtEuBfi\nRzF6XTtwWYjJWgpdtI6sk6HLOVmYkNh1LFpMwOxP9dZ//zPc80v/FUOfngq5KssqYd7E8ppPbtlO\n9uIxNplydF+h68yQdV3h0XRdh1so/5ss6tsH8NvcIc4H7EsI6l9Z7pExGP8ZtV4QqCR+LAtdefmq\nP2S9Nwq4C5hLLxRQzlc0qgB7gQeT/y/Vth8Lv/8Z+Ilk/e8CP4q/Abcn698O3DqiPm1LW9riyyTv\naO39OTTBeQ9Ne95zubCObdhGPy9tacs8lbPw7uYb3X6MKrN6oo6KyMWqejS4ueO0z0eAy5L9YrKq\nYesboaob3BnSosW5C1W9YqNlOAewZm1Y2361aHH2oKpL4/faOEwzbjxtGG4Ffiosfxj438n6D4lI\nLiJXAlcDf62qzwEnROTGEKT5j5JjWrRo0WKt0bZhLVq0OOsY64kSkc8A7wQuFJHDwC8DHwc+JyL/\nGHgSP5oFVX1ERD4LPAIsAz+rwR8H/HPg94EucJv6fAwtWrRosaZo27AWLVqsGTa6P7HW93kL8Chw\nAPjIBtR/KX648zeBh4CfD+vPx2cxfQz4EnBecszH8CN4vgXcvA4yGuA+QjzGvMgGnAd8LtT1TeCt\ncyTbLwIPAw8C/wPIN0o24PeAo1Tjc6aWBbghXM8B4BNr/dy1ZWL9blgb1rZfq5ZtLtuweWq/wvnb\nNiy9HxstQHJDDfBtfABoBjwAXLPOMlwCfG9Y3hIeiGuAXwX+dVj/EeDjYfm7gPvxHr0rgvyyxjL+\nIvCHSSM0F7Lhv9B/Oiy70CBtuGzAbuBxQnAi8Cf47psNkQ0fkPy9tQZoalmArwHfH5ZvA963Xu9J\nW4bqdkPbsLb9WrVsc9eGzVv7Fepo27CkzNPceTcCB1X1SVVdBv4Yn8tl3aCqz6nqA2H5VTxzvpQp\nc8qslXwicinwd/EjhiI2XDYR2Qa8Q1U/CRDqPDEPsgVYYLOIOGABHxC8IbLpPORda7FW2NA2rG2/\nViXbPLdhc9N+QduG1TFPJGoP8FTyf8I8LGsDEbkCz7b/CrhYk5wyQJpTJpU55pRZK/wa8Ev4oaMR\n8yDblcCLIvJJEblPRP6biGyaB9lU9RngPwKHQz0nVPXL8yBbgoumlGUPM+UsarHGmJs2rG2/psZc\ntmHnSPsFf4vbsHkiUXMDEdkCfB74hfBFp7Vd6v/XQ6YfAo6GL81RQ6jXXTa8q/YG4LdU9QbgNfy0\nGvNw37bjv5L24l3jm0XkJ+dBthGYJ1lanGNo26+ZMJdt2DnafsH8ybNmmCcSdQS4PPk/MpfUWiG4\nTD8P/IGqxiHMR0Xk4rB9kpwya4EfAD4oIo8DfwS8S0T+AHhuDmR7GnhKVb8R/v9PfIM0D/ftPcDj\nqvqSqvaA/wXcNCeyRUwry0bI2GI8NrwNa9uvmTGvbdi50H4xgzyvmzZsnkjU14GrRWSviOTAh/A5\nW9Yb/x14RFV/PVk3VU6ZtRBKVf+Nql6uqlfh781XVPUfAn82B7IdBZ4SkX1h1bvxo1s2/L7h3eBv\nE5FuyO/zbvzw9Y2Urc1Z9PrEPLRhbfs1m3zz2obNY/sFbRtWYqMj29OCHx78GD747KMbUP8P4Cds\negA/ouC+INMFwJeDbLcD25NjPoYfcbAuw3BDnT9IObplLmQD3oQ3Ig8Af4of2TIvsv1yqOdBfNBj\ntlGyAZ8BngHO4BvIn8YPD55KFvw0JA+Fd+XX1+O5a8tE+t2wNqxtv1Yt11y2YfPUfoXzt21YUuJQ\nwxYtWrRo0aJFixZTYJ6681q0aNGiRYsWLc4ZtCSqRYsWLVq0aNFiBrQkqkWLFi1atGjRYga0JKpF\nixYtWrRo0WIGtCSqRYsWLVq0aNFiBrQkqkWLFi1atGjRYga0JKpFixYtWrRo0WIGtCSqRYsWLVq0\naNFiBvx/yiMZc7t4oy0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d93be48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make noise in 1% of the image pixels\n",
    "speckles = (np.random.random(I.shape) < 0.01)\n",
    "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n",
    "\n",
    "plt.figure(figsize=(10, 3.5))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar(extend='both')\n",
    "plt.clim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that in the left panel, the default color limits respond to the noisy pixels, and the range of the noise completely washes-out the pattern we are interested in.\n",
    "In the right panel, we manually set the color limits, and add extensions to indicate values which are above or below those limits.\n",
    "The result is a much more useful visualization of our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Discrete Color Bars\n",
    "\n",
    "Colormaps are by default continuous, but sometimes you'd like to represent discrete values.\n",
    "The easiest way to do this is to use the ``plt.cm.get_cmap()`` function, and pass the name of a suitable colormap along with the number of desired bins:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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T2fWmpkJ+Sn7XtWsUp9ssVubpm8rGomW6M3V0HwJziZmyB+ZcmDq6T/V+AxIZ\nqQFgfbn677nEEf9QnZySN3WU5Nolf9MDLee5zjs6ER277g2KMCEEjRU5cIim2yPTxmZVX4aflBVD\nj4p8cVH7edlP+9xMC7NTb26sZrTWh1pBrMyRHjFevzLx7h9ahGoxznPqhUimptZBvqqGYtYUxv8u\neU7pB1FDeTYKsm04eJwd2HBd02qu8xblR5/XGpO9p6bIEV5kK2ZUeizOiX9Q76jkHx0qDRBOn5YM\nBLuiSFkxzFDIJKN2ilyRn4nbP/Tfei5JFY0VOfjowz+I+1ypY8ay/6I6e+LwcEQkaEA5siRZQggA\nxGqTPJ/fw06tdulSZEV00+03JeKymIhnENdurU/4+SryMyUXZI6fize/WFQkWpAaIIRYkFmgvJJI\nWTHUyume8bjPQiO1F378uaReyx9/GB9fLdUxV6tws/G4hKld++tvxG3r64uIBzHJLwwYKYRXbVyp\n2IZ6FyTPa85g2+OGhmbQ+vJ+Xdemlop8Y6sh8lJbxP4OYj0f1MCqP55CqR9TipQVQ60/2Mba6OmD\n3JQ10dE3uYzEmVJP/9Js+RtQnNAzI1uY2q29UT6Tjxx+d7Q9Tm+h8SOn4+PE5QgJ4q8ekq7x4mpr\nAQCsv0VI3vvNt2/UdnEArlax6MD63ZKFGhNLbPlcFvaseIFdqvWj9ZKyYij3g1XI2NjEiO/v518/\nHbddR6JtbkKd2xqso+nWOCVhJfTUo+WuVmGFt2LtGgBAYJHukAe/JZ34IXtdE5rqIqOizzwV/xvy\nYjPzdXUtC2Bi/v4/n4x6f+wS2/FZDkuwr/z0d/uE9xIPqnIVD1ApxGaVK52UFUM56jhXX9eIVhzv\nuCEyqkj2jW8xE1U+ZdurtOeq48HdE3GUHjh7TqZlYpnrUk400iKRdNYaW6RZBT6J2ipq+diXfxb3\n2X/+/f1R77ep/C3/8RtPob5UMJm8L5g5RyqL9wqJ+yBUzIwnI7bYrHKlk5ZiqBe9U0K1hDo3L0dF\no4lD+09y7/eOLUJJUKpQPW5hJN6nLIMRw/3AnfEZc4zEO86XwZvlKiR+uLin40c3Wyry0HOZPeqx\nSMRFqx0Vfv/L71XVnod/++zb4z6TCueUQqqY2TLyLDkxDI36yhnhULL7GWw//I8fPqd6nyrG9H/n\n9Zu59//Hx4UYXmJRH1jkmY/PhvLEc7rSTXIhtYosRsmakZmbg//5r19FfXZiYBK1ZerEbcNd/6Sq\nfSIRO2Tv8/qIAAAgAElEQVRLhXMaDaXGRrVohac6XrDdVYQQLyHkPiPOu+TEMDTqc6oMlg+F9f3i\n6UMKLfn44kel67Ekk4r8aIH19Ktb6Eg0rjPKgst6Tg2euwAA8ATrB3/qbx+M2i42NVRwZgU/8+y/\ncrVLBmrs2WUas57Hn3Px5YCnOp6o3Vch5DU0hMX/61OMv7pnZ0KOy+OuUZ0rHe7FM7Nn2UIHJqJL\nDMwPsoP0041Q+n+p3IdHVS5clEiEfC4mPl+8zc/D+OwyR93nv95Rgzd/G5swOiUJV8ejlHoBhKrj\nxfIpCCVH+MoKcpAWYthzMWLjur5Of0TGoYvxvoiJhsddQy6llJ41H7+bv/DTlQrLGZ5lOkgmWQyh\nz5BIKvGHJ1+WPdb/vtGLa955t2yb8nL1qfASAKs6XlQxHUJIBYB7KaXfh77k31GkhRjWrqwIv97f\nNYqCLPk4YpvFhKkZ6epzO1cmvh7ED57Yl/Bz8KI3jVcIZ45xiQqSBaUUdRzp+h32eDsra1EpqcTc\n5rHlHsTce/8tqg6dw/h7BwenVB1jEfkmALEt0RBBTAsxjGVcVMxneJT9Azo5fRFjGR6bVm7Ewd88\nsNuQ46QSUzPKix28/OD/M34llkUyfEkTxcri6IfYiW7jZjQz84uTsmthoBWulifD/xjwVMfbDuAJ\nQshFAO8A8F1CiPywl4O0FEMxJUXxQ/sKlSvJX/z67yLHK2SnfkpFTr3wymJfAgDgPR98G8w5ecoN\nRfzNP8f76KUzRvkuyrE6NaaxurBVrEd20/3hfwwUq+NRSuuC/1ZCsBt+nFKq2yCa9mLIIkMmAzGL\n//j8OxJ0JYll0+38lerqFHwdY0fSWQX84vbzx/4I/wx/jV8paouTX33OKKR8F3nY85FvxH3W2cPn\ng6mGk8/HPzy9E+oKRiUanup4sbsYde4lKYaXOdLNpwMVjHROWukaEmKRiwvYvnexNtbZcf3iFsuq\nGvkKdj0y+QvFLLj5ft9Mixmtpy9EfZaKs+a9j3427rP62lJGS22EFoc23xH/8LTmF2NXY4lh5zIC\nSukLlNIGSulqSmmo1PAPKaWPMtr+NaX090acN63EcP+rLRgeGlcs5DMXrJWsJpNxKjKgMdGnnPPs\nyPjixaJe6DVmFGLLzMD5g0cU27l9fqzfKLjghML3UrAyriJtffoeTEopvJrbDfNOSWvSSgyvv6kJ\nJaUF3BXYbMEkmuLoknPdlzWf/9CJC8qNZPjxr1/StT8vyXCerawSRhOrDRzBqGH1tVch227G3RvL\noj6f9yyg85x8+F66cDFYcGxdtWCy0FJ17871i/P7pCMpK4Z+HQVvYkeE4qJRa1aUxTbnZueWVZr3\nBYAPvetWrnZeHSPaL9y7Qfq4k8YVnuq/JIwmnOWJycRtVkjEYDURuOb9eOZ09MPNnmFD/ZqaqM+6\nJpX9LKfmFtenkIdJmWv82lcej3ofytLzXKvxtselSspWxzNzplwCgGdfOoq7bt2esGt56dQAbt1U\nodxQhmm38s027hZchmLTwqvhkT+ckdxmzdMvXOZsJ/yuiDvT0TdakZlph1tFmYbrttXjwDF2Kv0Q\nuxpK8Fqb9I3sVZgd+Hw+WMIx2sqjwmm3V3UIpx6Ot/Vg6zr5+sXzCg/F1t4JgAA1eQ783Zc+ELVt\nweDqeWpp2l6j3AjA3h8n+EJUkLIjQzUkUggB6BZCABiY8OADn/+ObJtpUcSDkp2flZg2NhtPbBlV\nEwFyNkbXIFbrhycWwhBiIfzttz6ueAwlIQSA19qGNBV5D2ERJ6uI+aoopTh1NjoscXZevWvMwS7t\nfn9KQsjD+hoh/rp3MuL/6RRFrQQC6W0zTzZpL4ZSN0wqTnse//onZbfPiGrXKo1leEQsNhNPgAIm\ne7QLjdHZvt/50PdUtc/ZfK3ktpBtWO8K8IAreiHKZjFh01r9YnRtXeIimeY5chGymPJE+r1JRZ2U\nZZaAGEotpgxOSq/Ezswm3/XGGwywd3sWJNtM6YyF3brV+Ep/iSYrSzlSSI9es8Q+FRZT/vFXx2S3\nXxwxLtpnGT7SUgy7JvXV983JSm7Bn/aBGViDAfaZGcr1mRNN5sq1i30JAABrYRncC368+/o62XZN\nTYL9KTa79cQETy5E/mFl+0Dy3I7+7cFtSTuXmPH++Ep7ywikpRjykszObSR6UtrzYCtMnLtFjopk\nDo6VQpq6X+7v4mofO6LLzzc+cYTciq0abnrvf2ret3NI+WHv8fnRzbFKHktBZXnU++rqxJaYSCfS\nQgwnpqNXKgc48reFCLnZtHXGp7o3gtM98nnzeAVZbN9LxjROy+jwG//wLslt5iwhpnuGM5mDnK0w\nEfCurl6WMK+8eZJPsEO8+rO/V9VejI/j98+wmHFJJjMTLyUl+gpgLSXSQgzzdSTe7Ao5rtbrXxFm\nsbFW+snaM8pv9zk5ZHz4mxxaRoef/fdfS27zz6rL9mOyRswFH35Lg+prETM7q+zW86Ev/jD8+tgZ\neWFjPcCu2Sw/lRfzvV9pT6AROvfjryxeoa4rlbQQQwC4cK4v6r0aP6rFmC4v+AKqyoLOalw9jGXV\nKnlfQnHpTef23YacUy2x5/3Rnzvi2nz0LUIJ06oq5YQRWVnKD8uPfOqd4dfbNigL28g0v99kLB9/\nkD+BhpgOUT/9wM1rNJ9fisnBZQdsOdJGDFetiV4pPTygzsdLThC/+n/a6/ECwKe/El2MiFIaHpGy\nOD+QuCSaeXnydrTY0puJEMTNjdKr2nLn84lGlz/8szAyKi1VTqm2sjDyN/MUVudhzLVgeJEwOS4M\nuRTdqTJF2ZhOD6vvQ3nl7NnAmjWplahhsUgbMZSDVb8im5EV+Mb3fo25/8N/sZH5OS/f/tKD6BsU\nxHlgwo2OQXkD+OqK6Lx0neNC+wOvHdd1HSHU6oFz+26YMo1Ln3WyvY/5uZLwWrL4cknOz0abHy6O\nRd77ZQSsbUQQ20yJFG+xNUfODbrQP67fLqdE+8AMl51YPNPQ64YlJsegglJGoVQdjxDyICHkZPBf\nMyFE3w0cRLcYEkJMhJBjhJBngu/zCSF/IoR0EEJeJIQ4RW2/SAg5Twg5Swh5q95zhxhmTGlcMREF\nORkW/PCrf4P2gZmEdPDq8gK0D8xoKuvogzDlv+7Grdz7XGqNn1qG2LaNHQrlY0SPAMC9V9cgZ/12\n3HpffL3dMkbyXLVk1q1D7rYbuNtnZwjRI1JTfnuWtlXk8aCPp5T5wsKoLzLj8RlmZnntcPRv5g/Q\nqGN/5Vu/jdtnX6dx8eTpAGd1vC4AN1BKNwP4CoAfGXFuI0aGDwFoE71/GMBLlNIGAK8A+CIAEELW\nAbgfwFoAdwD4HuFwAmM1aCgWVsCa+/g7yozHF/W6fWAGLo8xqc/bB2Y03zAenx+js9KO2FJUrVe/\n6GDJZgvbHw4LWV6O9Lrg3L4bjtWbwtsuS5RVkMJui4TBOeo3wrl9N2wFJSAqoiFCv4vSlD+WBY7R\n0qSM07scod/YpyPm98arhd/M6wugfWAG5y9HzyC+9NA74/bZXS88EC4OR/qXmn7PS8iXMwVQrI5H\nKX2DUhrqmG8gpmCUVnSJISGkCsAeAOJw63sA/DT4+qcA7g2+vhtC1lofpbQbwHkIf7gsLpcwihPb\ngjpGIh1DT0D6pXF3uJNLuVRIcXnSo0sEQxwd5CtpaRWFHY6Ps+2RtzZEkqeuX1/ObMN1LmcBnNt3\nw7l9NzJqVku2+8pn4mt3k7KV4X2teYVR2zbU8GfPXrFCfaibjaOA05Ee7bn7Xm4+hc6hWU39Zcy1\nEO4vF2TsyVKsDLrAeBOYgMFq1Z6t20AUq+PF8CEAzxtxYr1Za74B4O8AiIccpZTSIQCglF4mhISs\ns5UAxBXa+8Gh6FnZQriWlC3o8MA4dlVHplNZdrOmoPsx17wmh9tDLR3Y2SQ9SvP6/OHok1jaR/nc\nUbwLXsAWudELCtjV7l7qiCRPlaonzMtV9UU40jkKe0kl7CXsn+lrzeNxdsAMqxkeiZXxM7387kOF\nhYkpAZDpyEDryBTWF6uf/t+yKzJinpzzhvuL02FNWiz8m8GFQxPhLx/r9/pgtirf6ps2VeKSnotL\nMoSQmwB8AMAuI46nWQwJIXcCGKKUniCE7JZpqmlJbu9j3wy/Xr11B1Zv2yHZ9ujgOLaXCyMJLUII\nAGaNQe2xQjjuXkBBZsSHTkoIAWDUzTdls9q0CVtTUw1aWuITnYbwTU/Aksv2kzyi0VYlJYRqSPSU\nbcLjhcfnl6xBrBY5IfzNMwfwl3dfZ8h5WkSzCDV1tOWEcOxcC8bOycdJG8lYh+L5eKrjgRCyCcCj\nAG6nlPJNrxTQMzK8DsDdhJA9ADIB5BBCfg7gMiGklFI6RAgpQ6TifT8Asc8F848MseeDn4n77MVn\nD+C2u+I7lscXwIG+UVxXnZhEo2oQC+G8zw+7xA0nZ/chMK7KjZwgSgmhFggxJqX+tm2JSzaxuigb\n50cFO93RwYmoGQUAjE3MoDDf2IgMLUJoMZO4KBTXgg9un/EV+ArXNKFwTVP4fedziU0wWNjQhMIG\n2fOFq+MBGIRQHS8q9IkQUgPgKQDvoZTqSz8vQrPNkFL6D5TSGkppHYQLfoVS+h4AfwTw/mCz9wF4\nOvj6GQAPEEJshJCVAOoBHFZzTpYQhq8HwJGB8fBK5GIQm00sVghzM4VrYwmheF/xbVDFqP98Y31h\n3GchGmOq4JXm2rhGWp7+i8zP/+kdm5ifx2KEEDY11eiqc1zisGN2VtpTICSEIZr7RuERCYzRQhji\n7JCyXfnI+YiJI1YIR+fmcSLJEUqLBWd1vH8CUABhEfY4IUSVjkhBjMhnRwi5EcDnKaV3E0IKADwJ\nYRTYA+B+SulksN0XAXwQgBfAQ5TSP0kcj/5Ps7pYUDG5dgs2lair4xvL+KQLBXnydis1dpsQelYC\nnz/NLqhkJgBPOLPclHmx0Ts1vmOjfOU9FsVZdozMzhvSX7TwV5/+Fn7x7Ydk27xxaQwL/gBMJgIz\nIWHbOaWU68Eh1WdY1ORn4gcPbAKlVJfnOiGE7vnBm1xt9/7NNbrPZxSGOF1TSl+jlN4dfD1OKb01\nWOrvrSEhDG77D0ppPaV0rZQQ8uLxSIdLTc/7cF5nFTglIQTUCWFz32hCXCIAPiEEBMHZtCl6MURL\nMum5i+3qd5Jg48ZKw2yEZSqch3PtFowEY5qn531cv03z4bOy2/crbBfz9IuHZYVwaNaD5r5R+CgN\nZzAXLyLKCeHkhLo48RC9E4l3ME9l0jYCJSNDPh51aHYezX2jUUZnKcQJV/sGom8KPYWpgMSKoBas\nVjOammoQ6BFCENWObIFI6q1YqovYq9xi6suEqei6deVoaqqBTSIaRAuXVWQzsjJq7Cj9Vruuls/0\nc73E9qOn4s1a99x2NTNVW8vgBJr7RnF+XHvOTr81+qEQ8Btva1yKpGxBKKNw+/zhDt5QmINiR7yI\nihOuVldEG9XVFKYCgDH3PM6OzsCZYY1KwZ5qXHXfnVHvOztHMDWlbWTgdNgwNbeAvlF5/7mVKwvh\nLMhCU2X8wk1jaTbah1yYHh5FbkniF8LG5qRX8sWCuLYoF4XBRTHXrAfZGhIDb9/ErqoYCsEbm5vH\n2THjkokUZkcnEDaZU8J/MOVJGzG8vaEUL3Toy7rRMTaDjphOl2uzYFOpNnvRqaBRe3ohPpIllYWQ\nRX19tM3N5fJgbs6Lvr74kXWsvWpqbgEF2TaMuyIC09BQguxsfuFoDyY0TYYQquFsjC9obrCeip4+\n46fUsCxFYjIsJnh0lJm90kkbMdQrhFJML0TsReW5GRicTn59lFQkOzsD2dkZqpJ/rtR5TtfYOLIL\nE1dkyQhCDz41pg+72YT5JJTuXBZCfaS8zbAiN3kZNcRCeNOqyEjpzCn50pZZMnavnktjkttiWVWo\nbHNbyqS6EIq5cJ6dmYcFjxAOXebvJ8skhpQXwwHGSO3IIelC6VqwMJZUX70wgsbgqGjDpnrZ/Wtz\npUWsgEPM64LhdRfG1MesqmE1xwJHIsm2GzMR+fKeRpw/eARWE0FhVmIKbB3af1J2+6rVgnP45IS0\nra/jMv8iSGmZtO+oWpI5gFhKpLwYsrhq5wbZ7Q6VAec+iSXV9mE+o3abTIxxDkMop6eib5IuicQL\neqgvjj/v+dFZnN13wPBz8eKa92GwQ7mAvBJf3tuO1ddehZ5LExjTkPGHhztvu4qrXZ7IUfv0CSEh\n7eWgR0JDmbr46r2Hogvbb6vUZpdkDSCWUSYtxVCJOZXG6dikns/+32tGXk6YOxrLAAC5zsQkIcgV\nRd90jrAFdu1uY+JktVLeID/KZhEIsKeZFRWJc5Qel1ht/vljf5TcZ+MWIVV/WYW2RaA9O6ML2x/r\nT3zUyW0N6p3VlyppI4ZanIN5iU3qeddf3JiQ8zzfftmwY22pimRdCS3sThuUn1GKDGvyusv0cGSB\nwqQxiUYieM8H32bIcfp65PvCWVHRqrEpvpFefiY7occ9m8ok93mxgz9CZamTOr1MAbXOwawww/ek\nTgJLfPtrv9S1/4lLkaSrySrV4fFGRmh/uc2QfJqSxLrY3LeZPz/jG82njL4cw6mulRYoAFgrKlpV\n6OSzAU642e5cT59iC+/rjz/BddwrBUNik42GEEI/8/szEFIWENH/CL/eUuHEiYEp5ja5/VJl281r\nivHKuRFV+0nZNvWytjQbZzkKlxuJxUQ0/z3rSnPQFpP8QFgE0/8bjfcPoqCyQvV+4m3trRfRuH5l\neNvc1AwczlzNx3TPuJCZk43jLe3Y2tSI1cVZOB82g8gfU423zZFDp/Hm1x+8YmOTU1YM93yf78tU\ng29hARZbYlYfE43VTHDrusVzSF5Y8MKmkFdx2u1Dls0UF7UjTjCgRHvbRTSuU++xKE5I8P5ravCT\nN+WTUkQLytJFbQKLT+2qu2LFMG2mySH627QX106EELpnEj+iutTawVU9LZEoCSEgpChjhS/yCiEA\nbiEsErnU7H+1JWqbkhACSGkhfHB7lez2qjx+15mj7drLHFxppJ0YVq6LFNfWm0TBCDJzErMy/LFr\nV4Rfayn+lAxiZxUOqxk31iVn9CouonX9TU0yLQU8SXhoyVFXpFzc6hv3CS5jvzoqn3z/kkL9FfFi\n4/bG9KuJrFQqNNjm28FKmycIIVuMOG/aiaEY8ShkQ7m+xJzuaeMC5dXQ0cyeTnz/YHdyL0QDsWmk\n5rx+vNaV/Aw9Lz1/SHb7igIH8gvU1Ty5ZoUxWcDfv0NYtOsanVNoCXz298YEE7BMsf0yI+G2M9pz\nhxoNT6lQQsgdAFZRSlcD+CiAHxhx7rQWQwDwB30EzwwKYjY3pS2XW2ZuYrIcK9Gw6xrutvPz2hyM\nf//ES5r2M4qXXzTe/ivm1jt2ym7vHp+DO8b3dHZSvgTqm93aymoc+f1zUe9/8oa2hLqbK3M17SdF\nJcMJP8Q60cp1CqBYKjT4/mcAQCl9E4CTEFKq98RpL4ZmixldR07AEYwPFlbt+Gh//Y1EXZYqZiem\nuPwo7XZ+m6fY5+y+B25lthkdSU4q+VtuEwT/sMFhlCz8voiv5c1rijAtEY2Rlae+Oh4PsanRpJAS\nu+3Bcqon+7U91JcAPKVCY9twVdpUIm2y1shRd9UWzC1IR53QQIBZxLzxhh2oK3Sga0x5CqMHv88H\ns0X6q87Kd2pKsipFWY4dl2ekM4GHKCpObKr7XLsF0/MRcbpaIoyyu2sAK+oquI6Zl2HFpMeLl198\nMyyyYsTf8yvnRpGbonG6LLHz+3w4ylFONTfDYpiD/eikG0V58XV2EgVHdbxFY0mIoRSl2XYMueaZ\nQhji/LAL8/M+nD0rOKZKCWcsa9cKTrMOh/JoLXSDzk5OgRDCHL3OzS1wHUuOkO/e5Zl5zM154HDo\nE4KsYIz31jJ++9n0vBcXJlyY9fqjhFB8zNhcfrxCCACTwTyRLCFMFnPBUL1Qn+FFqc+IhfzdV1Xh\nl0ciCyniB6qRkUb9Xb0o2mb8At2eDRILNxvuAHBH+O0n46vj8ZQKVVVpk5clKYZbq5w4fmkKQ674\n0VFX1ygmJqRHgjxCCEjfCPn5DtRJrKiKp2ZTU244nZEnMusGmRoegbMk2k+s0GGTzNIsdmJWK4RS\nWcDVkmu3MsVzZG4eHWMzYSG0mknYXahrZA51xcqrrYvB9LQbFy6MImDA0J3VZ6T6i1gIAcjOLPSw\nOSiEakbnCUaxVCiESpufAPAbQsgOAJOUUt0JT1NWDF1jE8gujL+pPDMuZMi4s5zddxDYfW34vc/n\nx8mTuh8a3ExMzKGlpRfU58P6TdXIlIgXFQuhFLFCCMinq1eD1URwTaVxaaOUKHbYo8RWnBx1MYXw\n7L6DWCvqLwDg8XjR2jqYlPOH+kuIzZsr42Ll5TAR4C82V+CpEwPc+7DqcqeIEIJS6ieEhEqFmgA8\nFioVKmymj1JK9xJC9hBCOgHMAviAEede0hEoqVIas6DAgZUr+f3vimxmjC74saE8B2cGZ1BbkInN\nlU54IW0XbTt9Aes2CrU2+ic8qMyXHhnGFk9fTIwqlqWmJKYU3d1jGEtwTkleamsLUFSk34c1FIFS\nX5SNzlFlX0ujIlC+08yuwx3LJ3etXI5AUcLv1W4XaWnpTRkhBIDxceHp72JM21mMLkS7C/WMu/HM\naXn7VEgIAUgKYWNhTsoI4WzQnriruoh5Tdet0DZqbW3lHyGF8PsDaGnpVRTC335+t6ZrUsPCiHD9\nPT3jhvZhHiG80klZMTRbpWfwmyrYbgnz876UEsFYOjqGcPp08qbsYnZVF6FIo03w/17gH6U/93KL\nciMAWTFZr2MF8UC3fBr8QYkojPXr1U33zpwZwIkT8hEfId759X1xn+VkWrF7vXwGGjXYioXrrwlm\nJW9p6cX8vHJxsbs26Hazu+JJWTGU49QA2wfrzJnIqGBhTBhJJTIPohYWFvxJF2wto8GKvIhw/sXt\n/Cu3L3OmzzIzfhg111muIj43xGBHdP1iQWj0rczOuL3Y1xo9aldTREuKXlHZ1TNnlO2Xz55Rv34Q\nSEET2WKSlmLIIlZgiEVYnQ3QSPLTVOLUqegRolJwfr5DOVECC63T4oFJ9pQ+U6Ho+3//M58t2y+x\nOiu+XlZtGhaznIK2uSlS5L3dwES7IXYF44CHg+Uirl9r3GitpaUXHoPLz5pS8cZYRJaEGLJGWlZn\npNKa1AOQ92ZTA/Xz3Zherx+TkxEXH6Xg/Im5yI3wvW/EJ+XcVB4fUbFForavR2NYHwC4ZZzbAWWx\nVMJEgOuqBHshb77D2Cm3FMOius6zBtZO2bhK6GvNMRli9p81trxtsla4r1RS1rWGF/HUWC3im21h\n9DKK5ofRNziuuF/mikbYiuLtRAvjw7AV8GcJuXBhFE0asm9//LMPoDTbjhOXpsLTxVOD8bG22Tb2\nz5uhIqwPAAqybSjJteNQ9xh2Kixs9OqM5glQYP/hs3BUl8ETk5VoVWGWIRUE1Zop/vHtm/BvT8VP\n/xdGL8Pd3Y7mo8rHkOozSvjdszBnRuKKT568hM2b5WcRWtlebkxyinQlLcXQ65mHNUOwaem1+Uwd\n3Rd+zVsJ193dDnd3OwDAlOFAzoarAUCVEIY4fbofGzeqC6vMsVsw5Jpn2s0yrWa4vX7dq8ZryrPj\nplFKQggANYWCz2CAUpwb1LaCecM16wDEu90YIYSdnerz+4mFcObMYQQ86gVf3GcszkJkrd7ItZ9Y\nCAHAl8BC8Rkq/BuXImk5TQ4JYV+fdGaRa2WqfvmmJzB1dF+UEGol4JlTPFZsqisxCwrTThYzMg+A\n2OwsammsyEFjRU5YCIfHtCUMMBESPpbFnDq2qSlGcaVNtcojoqmj+1AwcV6TEMbimxrD1NF98E6q\n87Hcvkp4GCViAS5VXK4Wk7QSQ48remQwLFPX+KBE1a+po/swe06+QLhWpo7uw8J4/MhD7Ni+ujza\nLchqNWFkxNhciuLpzgWFKmwhKgsy0VgRvwpaUqgvldT7H34M9aXZqCnMVG2jNfoGnZpyMz8/1SOf\nriv0oLt4wTi3qILqCsx1nlH1QD56ge1uVJItb/YYH5NPV7aMQFqJYUa2dE42HowYCSrh7mqTPc/5\nweiRltcbQG+vttx5UoinO6sUqrABwmgwJyMxFpOffPWDAACH3YJ6RlF1j8iHzmaR746hutNa6exU\nF6Xic00nrM+M90Vs3VNH96FMZeaY2dnIav+wawGriqTvjWee2id7rCwZn94ribQSQzEnT8qvvu5c\nUwzvVGQxJBlCKGbmNNtR2edKrad0Q7n2kK8Xm9XnJwyNPmfnhOlqhj3iMrTAsIdVZEfsokbWnWZB\nfRFhXhgfxmx78lJNdbz0vKr27e3RK9UXRqXtqe//SGxu1AiNJTnYWpbYVG7pQkqLoW9B2q9KyZB8\n6NxI2L3Gdfx1Q6+Lh8C8G/7Z+OmvJZudVFSPD9lWkQuNmqllqdMua89U4rZd7PyESjRW5CCLM6tO\nXb4g1rFFn6QI6KiLQyyCMFNK4e5q03wcrSTrgS3+xdtlTE1XGikthhaOimwh/BKGbXdvZ7hwlJ4b\nXwuus3w3MKA+N56Y40PqM1YTAPlZi1c2lRWBIgdP0ScAMDGq8wHxM4mbNkhPuadbXuO/MIOZOXNY\n1/55ElmSxCzHnbDRJYaEECch5LeEkLOEkFZCyDWEkHxCyJ8IIR2EkBcJIU5R+y8GK1qdJYS8Vcs5\nKaUIBOKf/uaM6DRQX75fKJi1MBy5CdRk6MnKysT1N23TcomRY2TauJ/2RuTLU0MDY7HEKN73hbiE\nnViIGbGtZtgPM6yJezbHziRePcN++Li7OxJy/m3rarnaBTxziv00tDo/yPAtnXSrm2GUZadmJnAp\n5PRF1KaKEPJKUJNOE0I+zXNsvb3vWwD2UkrXAtgMoB3AwwBeopQ2AHgFwBeDF7gOwP0A1kJIdfs9\nojLUxScAACAASURBVGGoRgjByEi0/9rCaLxn/pefPKFr2jE768b+VwWb0a6rhOJcjXXl6o7hFqIc\ncjWG0qUC7V3qox5++siH4j6zMUZsZTF+kh6vfh+67mN8sdFSsPqSHh68awcA4FhbD/c+SiNTXzAp\n7sCAfvtzfX5iSt0mEKa+xOAD8DlK6XoAOwF8IrbCHgvNYkgIyQVwPaX0cQCglPoopVMQKlf9NNjs\npwDuDb6+G8ATwXbdAM5DqISlmkuXoqeFtiJ1IqWW5iOCs6wWYQCAvtf/bOTl6IblQiPZVuUDQA15\nnA+Ja6v403mt2LZJ6+UgsCCs0Jo4s53z8Ktn+YqOffb9/BOlVMxBmkSk9CUMpfQypfRE8LULwFlw\nFIzS86uvBDBKCHmcEHKMEPIoIcQBoDSUgptSehlAKCwjIRWtpFDr0JoK8OY7lGJHAjJXP/GcsWU+\nU/lGnjkl1F9mmWESzTd+8qeo93MXpBdwkm37TjFKJPSFCSFkBYAtABQ7sh4xtADYBuC7lNJtENJv\nP4x4++yi9P65TrbbhzWFQ45mZtg5+pTwuEMiqvxVW1VGgzxwp7GFl2Jv5DUM22EsJkLgFSX79XiM\nS7KQqngn1IcNsljgyIWYahBC/kwIOSX6dzr4/92M5pKdnhCSDeB3AB4KjhBl0eNteQlAH6U0FKb+\nFAQxHCKElFJKhwghZQBCv6qqilbnnv1R+HXhmm0oXMO3mqiE16cvXE0rcxfa4Fi1Lvz+47c14Hsv\nGmOsz8gUwhMtHNO7VaXJsRH1DY6jurxAsZ3JRHD+4iBWr4yfjrvmPMgOuuBYRY7BGRnqVsGHhpRD\nCn3Txjq+J5OcuUnMONi+gja7tCni6d+9iowdZTj6xv5EXVoc5469gfPH5U0HlNK3SG0jhEjpS2w7\nCwQh/Dml9Gmea9MshsGL6SOErKGUngNwC4DW4L/3A3gEwPsAhC7kGQC/JIR8A8L0uB6ApB9B7U3v\nhj1LulAQpTStpgvCkz4ihiwhHBiYwlOfvh6f/G1kEaDAYcX4XPo93XmEMARLCAGEhZCHmvxM9E6w\nw+14CCUD1kK2ww7XnD4TBwtxxhpCpFPRSQmhEve84yZsry7C9p3Xhz/74Te/qulYvKzZtgNrtu0I\nv3/+8W+pPcQzYOtLLP8LoI1Syn0CvZbiT0MQuBMQVpP/PXiRbyGEdEAQyK8CAKW0DcCTANoA7AXw\ncSpjQJITQoBtNwn5zfndqVHUJ8TX/v5+7rZiIQQgKYS93cu57cTICeEcR0VB75i63IO1FYW4auNK\nAIgTwr/co2ldMB4asV1K3SmpbINNEEx9IYSUE0KeDb6+DsC7AdxMCDkeXNO4XenAuoISKaUnAVzF\n2HSrRPv/APAfes4pxwQjYac1MwNetzpbXFVZPi5dVjdtstht8EkkTf27/3xS1bF4qFmR2BX0dCXH\nbonL6jM+rj/TTCw9A2PoGWAnTvjNXn2O0yFcbS1wbt9tyLGWCpTScTD0hVI6COCu4OsDAFQvDqR0\nBIpW/K6IjUitEAJQLYQAJIVwsTlypnuxLyGpyKU3qy+LdynaupJ/Op+O2BWSXywTYUl+U+6exEQR\n6KW2WFvWnanL2lcWr9qwQvO+WjnZzpsmN7l0Xo6Pwz1+UTmzuVF85TP3qWr/X1+INq8EvOofuPMx\nkTcr8uXNT1cyS1IMU5WekYgtk9euubUmF84y9Rm0B4cWb3V0c2O1cqMrkC998/eq2v/tI9HmFZNV\nfyx594S0yUAphdpSJ23/+myZ/HvZ61lmzAgFefryIhrBww/w+e8d79WWabq6gm/6lygD/CtvnE3I\ncZcK126tX+xLiIOVQu1KIq3EUJwp2eXRXvtkfHLxV5u/9rRyLsDhC92ajx+KX1UiUe5JN+9YK7td\nnJji/PiVk0YqlL/x4PFOxbbZ64zxrV2Gj7QSQ97SkbFFdPRy9aaVhh6Pl5JVKxblvMnAJHqwrS4Q\nFjb2HWpNyLmqqoxLXvqR+2+U3Na0XjkzjScFI0KefzV5SWxTmbQSQzGv/6ui25BhHD51UfcxrPnS\ndr/Q4Ew8SMtNUBr+VGb3zvXMz9/67n9J+LmthXwF3x99MjqjzOf+4X3h1y2t0Zlp7BKlWnkxO5QT\nahgxsr9DZ6q6pULaiuEN//QCVzuep3UyEIfixUIp8JFb16BcVAh+WoMZICBh/xsYil4x/fOBxIzA\nYmnrjK9p/d+Pvxj32SVRCdC+ASHBxv7DkUQFf/rl/wMgFJhX4tKZdjSWSIccFhWxtzlWyk/rpfjv\nf/+p5Lb5BfZvWJQCabPKctIrj2EySFsxVMJaIDzpY5/WqcqjL53TfQwpK0JFaWQxpX1gBm+5jj0C\nU8IXTNDKu+iyrr4i7rPPfeC2qPddw7OoKoyYNaorhLIF118d//DgsZJUbWhE+3B0TH5paaTC3+io\ntlrOsfzpfz+ved/RCWOuQQ+XNSYFWcosWTF01Gl70mtl67oaxTYfvnW17HbxyFALgy7tsbk8WIIJ\nWo1cdOFZwZQa8QJCQSOjcAQTXvDw1r/+umHnZbEceZJ80kYM5YpDLRZWixnmYEqw423Shb1zNgqB\n6T966bziMR991xbN19MzxRd2NpXCiR98jIJOBy+xw94AYwsaWdbtUG60zJIlbaz04uJQVVV5cdmu\nWeRsvhYzJw8m7Jp404GZ7Pz2mY/8+oTs9v5Lw1hZWxZXU0SO0fFpFBVEpoqDkx44GVmmF3wBRcfb\nY6092GaQHbZ9gFE9UKKgUzJIdBYka0YGvB7l6aklj6/CYUWFvpkEAHROuFCfn408hxWTBj4kd1Ub\nn2g40aTNyFCM2AYkh5zHfnmx/o7EQ87mnYYer7KqRJUQAogSwhDdI/G+ljwRCGqF8EKfMUlKefmn\n2xuYn1uCf9uqVcWy+xs5PS0riu5jPEIIAFn1fCVYpRaD1DAaLEZvpBCmK2kphmqQ6tyDI8kp5m6y\nRtuhCrJtyGKU6DQpLJWqzVAdy4lWwT0oNPgxoviSmG//7CXm56uq2S5FrFGhXqZHxvCvL7Dj0jdv\nrgIAXLgwongci9OY5A2XR6X72MfedRPzczVibLXyJ2Ypz2XPTnxplgKMpzqeqK0pmL7rGZ5jL3kx\nBICshogd7hPvvjlp52V17HHXAmYZqca2bpWP5/VyRpR0SqxUblkvOI6L+76RgvTp996KQc7kqmrO\nOzAjf8wi0YMlt1iYmo1clLbf8pC1WntRKV6+/+tX4z5zcJw3VLRKLYPT7FHpuMTnKQxPdbwQD0HI\nn8pF2ophbm4G6qv4psuWnDxkrhAqBX73l68k8rLCiIWwrk7aBrShWn10xILMYtJll7rOzStMPL6J\n5fmZhp0vRJdC6OQo48FSvFJ5ZV8JpRGaI5MzaQLhu8WI1Q6rswABr7zYmWzCTMOkcaZgj7HJFuRm\nwLNIpTA0olgdDxBqJwPYAyC+iLcEaSWG4ljd1atL0HmJP4mBragMjvqNCbiqeGJvpK4u6Up9Z/qU\nF4JisdmMrcPMI1BafRPFXBji86+bdetPod/60utxnxUXq7OxyQninJsznRZVNkc46jcgN2hbjjWr\nSLF1i7bMQPMMe/PRwbSq/8JbHe8bAP4OKgrSpZUY6o3VteYVwrl9N2wO5RGMFszZTsURRWAhfuTW\n1KR/JCOmuW8UI2PCg+L3p+KjQFi0D8ww3VqMwOcPoH1ghnuqnxX091O7UCRm/a03xH1WU6PeFujc\nvjuhPn/O7bth5Vw9NpL9r7Yk/Zy86K2ORwi5E8BQsHYyCf5TJG1ca1isX1+O1lb1tUAy110D+7wb\nM6f11wTesLoSrd0jyN18rWw738wkfNMTyKhMTtKH4kLBhHDfpvgoECk6h4QpqZoi81I88qO9+MKH\n9+iySx4eiE+82nK4DU2M6BQpCKLvFovFBF+Mo3dOphUzbsH0UFOUhd7R+Km5c/tuTJ86BBq02eUX\n5GJiXFt6NQDIXNEAW5G60g2BeTdM9kzU1ORrPm+I62+KzojTPjqNxiI+s5Mejhzar1iNz4DqeNcB\nuJsQsgdAJoAcQsjPKKXvlTsvScWCMoQQuuf7fELV0qLPWA4A0ycOgPrUuxYYMWIQjwrtFlNcZmIx\nd2yUdwsRU5Rp092560uzNPn9+fyBsLBqxRcI4I3+cTRV5aGFw6f0+dPSq8RX1+ThcG/kGIb0mePN\noH518ePEYkXuluuU2xEg4A+ASJR+VTOTCPUZr9cXVW6Vxa7qImytzQWlVJfrAiGEnujhe1BsUXk+\nQsgjAMYppY8QQr4AIJ9S+rBM+xsBfJ5SyhpVRpHWI0NA6Bh6O3dsB/VOjyMwJ9zMxERAg0Gx9jJ1\ndhqbxaQqYaacELI4tP8kdl6/mbltVGTT6h0YRU2F+qlY59AsnA5rVMRKfla8vXJqzisbN3z4xHlc\nvUU+FDGWN/qFUSGPECohFsKeE2dQWFiOsTF5sb6usQQH2qV9JHO37op6P3+ZXepAbZ8BhBV/I4RQ\nTEgIW091Yv0mdmLZ5j5p23YK8QiAJwkhfw2gB8D9gFAdD8CPKKV3aT1wWtkMpVi1ylibizW3APay\natjLqmErqQq/jsXEiFhw90WSdioJoZaOXZ0XsXdKCWGIUOdWEsLv/GSv5LbY0L2JWW/cP6UECmqF\nkPemvGc9vwkgRO2WDVixIhIdMdt5mtlOTghZhPpI7D8AcDrV2ajNPOl5NJJVof47SyUopeOU0lsp\npQ2U0rdSSieDnw+yhJBS+hrPqBBYImKYl+eIckBdGOFbNJBi8wq2Teb2rZVR71kJBDKr+dK5Swmh\n3G3QWJKDvkl1yRiODioXPPrk+/dEvR92qV/N1VM/IzczMkE5zkj7JcXTrep+5+GuSAaj0PefpdLD\nIDCvPhnG1JS6ffwSTxeeh+ddG+TzMq4oEgpC9TCKY13pLAkxBIBNmyJCZSvW9/Q72R1xNRDbhV44\n3q/ruCG2bZOeOrFug5CbiJakBB5fAAcvqZv+lGTzZ28Joad+xrTbhwyrCdPzXszaBf89OV9KrZTU\nRYcSahmZm+yJ8URQgvdanz0zxNWullE29UpnyYghIHSY6mr9K21iiFm7WZWVbr6pqUZ1QgCWm4ga\nAjT17UHNPaM4NRwJXzPal1IKo92ajCDLHulzRUXZstfYsT96ofG6uqVdBzqRLCkxBICSkhzF0LZk\nIc6s43RmLMqN5xWN2PQK4sSUiyvbtFqa+0bhSZCPIw9NTTXYsCFxtrS5LumIsPuvXRF+HZgXfFBn\n54XZyNat1aitjYib3xs/Wm64PrrK4oEuebOIxwCH9qVKSovhmpj07UOdkVokZ18TUnO9f0e8wJhM\nBE1NNdiyuTJuG4uMjOhRiN/jxtzFdrWXyyQ/34GmphrU15cgy8YfWG8U1hhbXnPfKJr7RjE2p/6m\nyHdmSy6WnNWw6hu6FjVUqlyM4MVut6CpqQYrVqgbWbl7ojOUe8fjF14cddJ+kU8e7A6/DqV627Sp\nEk1NNXHJO8xW6dEy76JLhooEtlcaKetaMzsxhdhE+HnlEePw2hsFJ+c/nIw4XZ/ddxBrd0ecn80W\nc3g0Nju7gPb2y8xzeTzRT1xzRiYcKxujr6fjJLIapFdvP3PXOnzz2cgIYOPGCthiCgLNLqRODOjZ\nsRlgbAZZVjO2lgmmhcHhCZSXaDMzrOWsQHf88gRmvdq+BwKgX+VihFoKC7NRWCg8hI8f74sqacoi\ns3ZN1HtrATs6zB6c+s7Ps30TP3PfJuzvUfdAuW1tCV48K4iv1KLLMvykvdO1VmZmPBgcnMLMjP5p\nQ06OHWvW8FVXA4CVhQ5cHOPLSi1Gzun6yKEzuGpndB684iw7Rmal/77xaQ8KRKmdNpY7cXpwChuK\nc5GXoZyIoGtsFnWF0mVZJz0LODMi7XzrsJoxp0EYd68qxr6YVFxip+u+02dRvVEo+zDeP4iCSnWR\nHlKcOzcEny8At1vf4k5OjjA6i+0zJsJX50UNd2wsRrbNDJfMg3hmehY5ucLv+KlddSntdJ1IUnZk\nmGhycjKQs0gVwuSEkJDoNFu8xAohAFkhBBAlhABwenAKkxPTeGNmDtk5Dq7zDsxpH6lpEUIAcUIY\nS0gIAagSwjMvvY4NMotVYvHqaH4TDbuuQdsrzVh38y5m+82VuTjZzx+yF6BAZV4G+ieNTaslJ4QA\nkJGgWP10I6Vthkp0HZVOkV+ULYxsek8mpyym12OMYVppWpZo8vJzuYUw1XFm8j3rQyM9OSGMpWGX\nsHAhJYQAVAlhCKOFkIdYu/KVSsp+Cw9ur1JsU7ddunjSqEsIR6vZLJ16KstmRk1MDr7RHnZYlRLW\nDHWG6Uwr+6uXcrupcBo/iq0riExxz/QvPSfcKbd87PDspODKk5mZHDcerfCK+jL6SFkx/NXRS+HX\nPMKohdkFP3pjsjMX1SbHLccdk3bfmSHf4Qem1I0YhqaVR6pd45H43A2VxjvhWhIYVsaDQyEtflae\ndB2cvjNnVZ0rkbZ3JVFfxhhSVgzFiIWRh/HgTd755jEAnMnMFpnttdqdxdsYabJKcxfHhWKdqFiX\nT2LKf76jB+YEV6IDtNskAaB6g7q624murKcXZwZ79NvVKdxbXRqm9EuNtBBDtRQEp3/112wDoCLV\nrYibGiP+Zsno5y93KBcqkmKdAfkHjaJtSPmmWt1QC78BI6lkCCoPiUysoAfxZU152CvgdfXCrKuu\nMvG5DFOdJSmGUvScOMPd9tX2iCc/pUKuQSX6TnHXnjGUbZXq66jIMaoyGcRiYYSgGkGq+Pjlxpha\nUuSy0gZdYkgI+Swh5EwwJfcvCSE2uVJ+hJAvEkLOE0LOEkLeqv/y1VG7ha8eLYtXfvKkYpvqTdKR\nBkYPHupF/n3H+rXn/GOtXhflKbtaLPaq969+Kp12bLGhi/TdTHuWvm2Rt1QoIcRJCPltUGtaCSHX\nsNpF7aPV8EsIqQDQDKCRUrpACPkNgL0A1gEYo5T+pzgTLSFkHYBfArgKQBWAlwCspowLIITQ/2nu\n0nRdPFhNBF5Ghz17pgtrN9Ql7Lx6kcvmrMTCnDthtV9SATVZwBeTNw+exjXXJqcwGaC+z+z92DUp\n7XQdzHQdpy+Mdj8B8Bql9HFCiAWAg1Iqe1F6p8lmAFnBk2UC6Id0Kb+7ATxBKfVRSrsBnAdwtc7z\nq2bv068zhRCAYUL4gELlsoZCwcZXk5c8f750EcLNBtuuAouYAIJFMoVQLdn25MfOa0CxVCghJBfA\n9ZTSxwEgqDmK6qxZDCmlAwC+DqAXgghOUUpfAlAqUcqvEoDYia8/+JkmdtZqS1W05x5+x9p8jf5n\nT5yI9lWcn48uK9kxJqz+9k6qD8kzGqmZgYORVMI3z1keUwdaHJXlMJlNuDwonQxicsJ4/8rjR41J\n8lHDYa7Qy431kazfrvnUiZ2XgadU6EoAo4SQxwkhxwghjxJCFL9Mzd6chJA8CCpdC2AKwG8JIe9G\n/OKtpnn43se+GX69eusOrN62I2r7oR7lDM5ytLd2oXG9/EhwIiYG9fTJ89i4WV0KewCw2zkLjmsk\nEAggz2EL24wevrEGX32Nry6MlEvIHCOEy5LgvyNRlJVLlz3Iyzd+JX7r9kblRiJGJ91MO21vcCGL\nFVvszLBKrhCr4fd7/4Sxc8d0H4cXnup4hJA/AxAHboeKHH6J0ZylLxYA2wB8glJ6lBDyTQAPA/hn\n2fPqsBm+A8BtlNIPB9+/B8AOADcD2C0q5fcqpXQtIeRhAJRS+kiw/QsA/plSGpeRQa3NcGdtIQ71\njGn6O9IJPTbDpQ7LZnjyWAc2b2tYhKuJ4LCZMbfgx3N/eB133qs+SW//pWFUVknVSVeG1WdGey6h\nqJYdyJAGNsOzYOhLTJtSAIcopXXB97sAfIFS+ja5Y+uxGfYC2EEIySDC8OIWAG0AngHw/mCb9wF4\nOvj6GQAPBFecVwKoB3BYx/nDHOoZw7WiIj/JpH3QxdVueCh+JPviswei3hs9ZVtRoM4mOTdl3BR1\nZlR65J6sbMyLLYRAZIQdK4RVjLyMtzfEZz7SKoSD/dIPTikhTBOk9CVMcBrdRwgJ5VcLaZMsemyG\nhwH8DsBxACchDGUfhVDK7y2EkI7gRXw12L4NwJPBi9oL4OOslWStHOxWPzKM9cvSQmN5NvPzhuLo\n6VdJabwA3HZXdInS2CnblgrpcDEeusfV2SQdTuMWL3KK2II3NTSimI35SuASIy/jCx189Ut4KK9M\nj9V1DTD1hRBSTgh5VtTu0wB+Scj/396ZR8dRXWn8e92t1tJq7bssWbZlWbbxJgZhwAQDHhsSBgLk\nMAYGCJA5MBlMwmwskxmGhOTMzJkMME4IZNgdHJJgtiEkOATMEsDGtoxkW7ZkS7Jla3Vrb+3qN39U\ntbq61lfV1d3Vcv3O6ePu6tdVV+WqW+/dd993yQEAqwD8SGvHltUzNJJa093lQ2FR5D3EpXnKcaTG\nM5H33tpaTqNiof65o3gPk48dUz5+ZaXyzbd6XiYOnOJEEeQkyrJSkzCgQyPQ7XRgUjRLfOWKfLSf\n6ELZ/CLm/ZiF2vVyvN8fZqtQOzAWzLXUmmgyp+QwWByhkxC4nQ5cuaQIPQxiBmLWlSmv+d3X2Y+x\nae0ZOSVHWF3gNVQBzwzSk504MziOQ4c6tRvLsG+f8oTN+HjxbGkFuWevHkcIQOIIgxhxhMXeFHQO\nj+OdNz8KyzRIdjkwwdePSXU5cW6x+trx0bEJpKUmY0F+Glp7Qz3yXInMfmgyZ2omgH1d/YpruG1i\ny5xyhkLO9PYjLz90Aa8rC59RNOIIAeBn297F39yySfY74Q3T7R9Hcx9bPDFINByhr/00Vq1YhFMK\nOnltbT74fH7Z7/SwqiI7rMSqELGDtVJFus5h7ryIU67KM9JQ6GGXTUvjnZ7QEWqR5HRgbWnoAS68\nZrzJLgwrlAg41nQSlVXmncOp8XEkpcRH6NhKzFlnmJefjW2/PYqn775IuzEDA0N+ZGV4FB2hmEJP\nyuzNtPu0TzHR2wiEANNTM3C6tJNkc8tKJY5wamoG9fXm1IAOouQI5Qj2IleuLEWSQGaLS5CmcDj1\nJ//KDZ1ZKM1MDaurIn5oChHL8n+0+zC+cn74EsyRiWmkJxu7rYTXjFqhLCVHWLf3iO60HgC2I+SZ\nUzHDIAsyPSjNiG7Caq9vCPm5GUhyEkzNsJ3D4AVeX9eElWuqNFpLUYr/3FJbhm172ERp1Yaz8cKM\nnqLacrz2k10oK1cfQq8pyoInyVp9gx7/OJr4nuKiXA+OG+jBxytmODbFdk+kJhHLxAznjGrNk4+9\nAoB7skfbEQJAfi4388rqCIFQr2Plmip0Ghya1r/7gWQbiyP0+yd0O8JoPyiD4hX79p1UtM0MG7Qc\n4bqyvJg4wvrGNqZ2wb+5wJMye80YcYQ2+pgzzvDb923GurI8uHmprff/1MD822DhJG8M5NXXleWh\nMjsdxSpV5dRYuelS3b85eLADR47oT9uItmBpgAJX1oRy3uQcYjRtcDsdqsNiNbLS9C/VXLm0gqmd\n+G9mtbG+Tlxc10YPc8YZ/uaZtwAAk/wM4GUXhS+InxbFkz74NKRtmO/hgt/DMZJXL0qPPEZz+INP\nmNrV1bUr1uqNNjQQUP0MAL/bfwqXLg/13OrqjNWgEXKgma0wfW0JW/L3zVsel2wbGI18KZweWByi\nkdCLTYg54QzXleXhiUfuUG3jcob/qZdeaFzb0AyM9kiCLLtUWpXtsqrwffb3j8ZVd5A4HKqfg3xw\nqGv2fSBAZ8s2GGX1Yu489A4rC0uwnv8Dh1rx8tbv6jp+S3d00qNYbN7520+Z9uU7qa+UxtmAtSLG\nFmBhATd8dcsoW09OB9DSo3yjdvUOoCifXXV6XVme6qyhXt5vCt9XS4s5+3Y5CYbbmjHVfwZ0Upqi\nQ9wpSMrKRWq5fhGLINP+Ybg8XPJya6tvtnQDK3IF2PO98sISSk7F5SSYFsWAVy9foHnshQUeEIRK\nblbzZRiCoxS5a0atPnavbxD5ufKrj1YUZKKhZ1DRlo1fu1CybXzEj5T00PkcGxrB2JA07evQlycU\n93s2kNDOMD3ZhdUFkUnee1NcKM1hm3BxuxyzF3qQY10js0mzehwhwFWPy05Jwu4DzaiqrtD1Wy3U\nJkuuWFOK39epp9ZMD/XD3/Ql07Ho5Dgme05jsie0z9SFy+DOYV9XG3SEQfbtO6lrltmMDrDYESoh\nvgaUcIucIwD4hifQOzwpcYSjU9NI4ydxlBwhAGQm649VCh0hAKRmpGPeOdIUnPFpS0zqxo2EdoZu\nYnyUv7DAI9v7EzI9E5AMr8VUFnFrk9t9o/BPzCAj1YUhxtjj+PQMludnol/BEfb5BpGjcGP8ZU0p\nfrXfWK6gmiP0HzuI6YHIe5RjLYcx1nIYrsxceBZbR9D0vELj671ZnaAaud5k5HqTJaOMNB2z2UWe\nFHT5zS02H2loYi5g6Zihmriq2+nAsnz9wgJpbieqS7yajhCQxhnVKMtNQ3WJl9kRAoCLj6G5FY6j\n5AgBhDnCvtPhKzwaGqTObmZce2XE4N5dpjhCIdODPgzu3SX73USXeqrPgQOn0NNi7tAt2R1+Tfkn\ntf+/qku8pjjCw8c7Zt8HRxmFmfpLulbmyIuDREJr69yXwNPC0s5QLK4qxMhqgyXF6SjPU5a16vFF\nLmFl5KYRz2qOyQirBlmQK7U/p7Q47POkzO+dKcp/91R/r6LDMovBvbsw6QtP70kuUh8Gz8wEULBw\nvq7jZLiVe1hriqRhDI9Ke8Cc3mCQZYtKwj7f88znyPa4sURB+cgmtljaGY6NKg8FWNMigmQnU82c\ntYJccySsqku8EdXSTZWR3A+yv6HV8H4BwN9cDwD4r9u48jOv31uL0eOHwtoQt3Lqz3XXrzd87LHW\nRt1Od0pnIfghlZ6eV8PxiTHqCHv72GaTf/ItTr2dEKL7WBeUmqff+eWXiTOzrKM6nqRyp9a+SCA/\nVwAAD31JREFULe0MU9OUb0rh0PLl1z9S3U91iReFvKP7xZufmWOcBouLzH3aZ/Lai9klUgFQIT0a\nYg+exSsBAP/w4h5M9vXgslv/U9JGbsY4yGs7dmlYqs2kr0u7EY+Za6gDFPCrPGCFRNIjzM8x9tvq\nEi/SGIsyRVq4vrc1FKKYnrZW0SwNHgDwHqV0CYD3ATwobsBX7twCoIZSuhLc3MhmrR1b2hmycvO1\nynLqQyPhsbK/uuaCaJszi54bam2pek93kLEmbnu7umBCYWboATPWEp+i92OtR6K+1E9McCThUXnA\nBjFzaCzktvuf0WzjNUFwmIX8BdZRDtKJZnU8HmHlzjQAHQrtZpkTzlCN2ir1nlS0YQ2QuxwOnGwz\npiWoh+5BrmcU7RihFkP7Pozp8ZyMy/qi6Yxe/I9vabbJ9oSP5lwqPcB53sjX4GuNJCyIZnU8mcqd\nA3zlTlUSMrWmxMu2nC3JGf+8KY+b/XlTXlGs+F0kw6KUJCfGdcbeYgENzIA45IeFk75uuHPNe5Cx\nnr9ntu/Ew/dcY9pxjVBd4sWRDs5JqQm/VmR5cGpYWj5Ai2CpOUB7JGE2H324Cx99uEu1TaTV8WQq\nd75KCLmJUrpd7bgJ6QwXZrHF4xYVxneW7umdR3HXxiUoyEg2JCabk+ZG3yi3pGyGIas4MCPv8MSO\ncPjwXt22yOFOcmLSoJMtW7EU7fs/RuafrZfft8ARdnQMoKREOhM8MTqG5DTzFIqcDhJ3RxgLxFfS\nRNdJzZl9s/jKJevxlUvWz37+4Q8ekbShlP650u8JId2EkEJBdbwemWYbALRQSvv437wG4EIAqs5w\nzg+T48ldG7nqbDnpxuoNBx2hGrfWls2+r29gG2YHRrmlWI4Ig/APPXqXZpsvXv0XAMC6W28I297e\n0Dj7nlL1AH5Xl3zKk5mOENA36TU1PYOAjPCEWRRnxU5wNVaO0CQ0q+NBvnJno0y7MBLCGRak609M\nna+ST2gGJ06bm5wMSGNALDHEl3gtw8p8D9OkRGAiNKyKVMTh3+5/UrPNed/4AQDgk5d+Lfv9zNgo\niMZKoljMtWSoyLdte1MqfpDkcsKhIDyhBEuCd5BMAxJhZwma1fFUKneqkhDOsGdEfYjp4dMRhGuM\n1XL1zGB+qT7VGSMrDcorijE6ziYVdazXL+vcxLJZww27ddsRTUYOmVI6WxWWGHPvgHLs7ZZrpOIH\nRtBK8AaAoRH9McCzCUppH6V0A6V0CaV0I6V0gN/eSSm9StDuEUrpUkrpSkrpbZRSzRvJ0s5Qq2cU\nVA72T3Bxq9N97BfSn/Y3G7bLCMJZQqVhc0UWt6A+T9A2LSWyHsJdm/TXxIgXU4ORLwmrLTdWoL6i\nMDrpNHrJSA8fHbAsGw1SaGAEZRPC0s5Qbnb1uhWhMptB5WBx6EttFnmIX+J3UY1xualI6RtRjwWe\n8WvHCln5+R+sqX5cc7W0sFZSZuSrKvaclCtQz10PSr3zAKWWHJYmJzlmZcBY6FYYQaml59iEsLQz\nlGNHvXTpkHh0qLbsLkNF/EFMUxv7SolYMCZaq93XrplHqsizP7w9UnMiYv9b78bsWAv5Hnf3oLyz\ncIiul3c/OSjbTg93/euL2o00WJDvQUpS5LeoXZeZjYRzhtGuyyHk07rjs+833/cUAOCvv/eCafsX\n57698/5+1fapIkeeU1ai0FKeC6pCFeTu/OfnJd+rLSPLy5bOtO7Y+re6jp8obFoXuQr609+/TbPN\nTX//tGab8amEWiqX0CScMwxyuFl5cXlQrTpSvnltqObyK4/dDQD430e/GdE+W0+GlFukuYPRfYJ/\n1qReNlJOYOCRLdxqpzP9UmXk67f8VHV/OZmh/4ea5frUZ6xCG5818KOn3jZ939t/rJ2aFC02LFEu\nrXq2krDOcNniedqNLMiC8kL0D4YcS5pg1vurl52r+tvqOCSRP7z1DcO/7RsMCYbuPxTSJXRlhWKD\nxfnGxVajhXBWvoLPGnjo7quUmhvmj59FvjbcaK7je0f11VM+G0hYZ6iGXM2J53Z8jGMn5JLVw/n6\nt7eGfRZX1TOD7EzOqRVkJGNURbtQzJFuae9MTJaHPcH77s3rI1Y/McL0QGjWuLNXuZ6HHrJ0xIK1\niDQZnZXLL1gmu31K5pqbmJRmhgwO+ZlzHY/tDg/BTI6F1HsCk/pXR81F5pwz7O4dkN1+x/UXo3J+\naE13m0LS9BtPbgn7rEftOsi9j74s2fbcjo8l25SW6HV1GE/oHtAxE/3UK7uYlvkpo+00UlPYnPN4\npzFF62Q+9WRARQg40UiSuebECt0AkJnBHg4qqa4M++xODeVeOtzJmB4ewPjpyLQyEx3LOkO5dIBV\nJdpDqsL8LKaVGBU6k6b18D/fu1my7Y7rL1b9jX90HMG5oaKS6NlmlGs31My+z5q9CbXP89g4m3NO\nKTYWU5xgSD1pGUjM+h6tvebZnZapLlzs8mYhpVS7EuBcxrLOcDpAkZMW3qv4soNtSDXFWOUsEjp7\n5Hugarz2eZvid560lLBlZ83d7DeCXHF2s3n9vdAwa2Ao0ZxL+PUgl4c6GOOi8ADQr9GLn7BnkmOK\nZZ0hwAkVpOuUao8m29/+fPZ9sUyJUrUe6eDoFK5bW6G6/zZBD2ZxIfsQSKk4+1xgott8SXq5h2Xn\ngLnV5lgQaxfaxBfL30UjOha3C4mGft9NV61V/V4tBzIWNxtL4N+74nzTj7vllg2Gf5u+vFb1++TC\nyLMGOoZj7+i0ePOPdVE/xkA/m3ArnTF2j801LO8MjXKiV7s0ptUwItSpF0dyZLJX7iSpAMbWbZoi\nwoo4U6OrLiRHSQzlsZS45vI1qt8PmTAhlJXNtt6aOK0z+oonlnaGTUfamNvmeMJn26y0AEkYj/Iw\nFvzR3Ge3NE9szZoymZZSHCplQ7UwKuaqhlBWTI78fHPzKzsUeunNXdLUpcbj0S/FIEdHv3Jv1u1y\n4PFnzU8CTwQIId/gq97NEEJqVNpdQQg5QghpIoTcz7JvTWdICHmWV5etF2xTLNdHCHmQENJMCGkk\nhGwUbK/hy/Y1EUIeZzGuqrpCdnvLgPSi7fNLn6RtJs7GqaElYy4cIgcVdiIls9D4CgLvObWYGTav\n6pxhO1Zx0lhavdVyXonG17QPPl/0/k/l0oyWLlIuxaCF1nXBiliObnI6gO/eqZ0E3n7CWmvrTaIB\nwLUAFIvoEE4g8ycANgFYDuBGQoimfBNLz/B5fqdCZMv1EUKWAbgBwFIAVwJ4koQCaT8DcCeltApA\nFSFEKlsiwuN2ovFgi2Q7awwoVus6lS76AKWaM4YAp04ipCxLeyjbefS4Zhs1AiPxd4aOJH0TCL6m\n/cjNNbbUMqAyueWfCMXMOvrNC1UIrws9YgnB+icAUHewBWMKifltGilDZfOLNI9VVpbNbJcVoJQe\npZQ2Qz3JtRZAM6X0BK9j+Aq4miiqaDpDSuknAMRVY5TK9V0N4BVK6TSltA1AM4BavlaBl1L6Bd/u\nJSiX+JvFPzmDpecs1GqmyjGZoY8aN/7dUxEdT4iDEEWlFCETUwGUZHNxLEop2lWERoMUL1kUkW0p\nJRUR/T5ILmM9GjEZ5yqXdzWKN1k59qXmjDyC3w2NKU8mTEQQImCV0RLHCteoXP9mxJgLCqyh42gy\npQDaBZ9P8dtUMRozVCrXJzbiNL+tlDdIl3GR0M8n++qVL/rlf9+t+v2eemlPVQnhE16LX/PSZJGq\n8uh50qdWLInoWADgkwlZiBGvP04pr5qV+ldSJC/I0D/JMTyh7Mj2dITrHLYIBDPEKP2/jetYmslS\nI1kOtVghwLLmR8rMVMjBjg7I15OxEoSQP/AhteCrgf/3L6J6YEqp5gtcyb16wec+0fc+/t+tAG4S\nbH8GwHUAzgWwU7B9HYC3VI5H7Zf9sl/xebH4BA1/0abjeF0Gj/EBgBqF79YC+L3g8wMA7tfap9E5\ndaVyfacBCKc05/HblLbLQim1pXltbBIUSmlFjA6l5Ce+AFBJCJkPoBPAZgA3au2MdZhMRAdWKtf3\nFoDNhBA3IWQBgEoAe/ih9CAhpJafULkV8iX+bGxsbBQhhHydENIOrvf3NiHkd/x2YXW8GQD3ANgJ\n4BC4eQzNUqFES9SAELIdwHoAuQC6ATwM4A0AvwHX2zsB4IZglSpCyIMA7gQwBeA7lNKd/PZzAbwA\nIAXAO5TS77CfAhsbG5soE2l8wMwXgCsAHAHQBIYxfgztmgcuhegQuDyne/nt2eCePkcBvAsgU/Cb\nB8HNpjcC2Bgnux0A9oOPzyaAvZngHrKN/Lk+38o2A7gPwEEA9QBeBuC2mr0AngXXiRHG/HXbCKCG\n/zubADwej+sj6ucq3gYITrYDwDFwkzVJAA4AqI63XbxtRQBW8+/T+YuoGlxB63/it98P4N/598vA\nFbB2Aajg/y4SB7vvA/ALgTO0ur0vALidf+/inaMlbQZQAqAFgJv//CtwISNL2QtusnK1yBnqthHA\nbgDn8e/fAbAp1tdHtF9WWo5nKFEyFlBKuyilB/j3I+CemvOgM98yljYTQuYB+Cq4Gf0gVrY3A8DF\nlNLnAYC3ZdDKNgNwAvAQQlwAUsFNClrKXhrHPOFEw0rO0FCiZKwhhFSAe9J+DqCQ6su3jCWPAfhH\ncOkLQaxs7wIAZwghzxNC9hNCfk4ISYNFbaaUdgD4MYCT/LEHKaXvWdVeEZbPE44HVnKGlocQkg7g\nVXATQyMIdzSQ+RwXCCFfA9DN92bV0pQsYS+PC1xc6qeU0hoAfnD5YVY9x1ngeljzwQ2ZPYSQm2FR\nezVIBBujjpWc4WkA5YLPqrmIsYYfCr0KYBulNJgW1E0IKeS/Z8m3jBUXAbiaENIC4JcALiOEbAPQ\nZVF7Aa630U4p3ct/3gHOOVr1HG8A0EIp7aNcKsfrAC60sL1C9NpoJdujhpWc4WyiJCHEDS5R8q04\n2yTkOQCHKaVPCLbpyreMlaGU0ocopeWU0oXgzuP7lNJbAPyfFe3lbe4G0E4IqeI3XQ5uRtmS5xjc\n8HgtISSFz529HMBhi9pr5wmzEO8ZHOELXGrNUXCB2wfibY/ArosAzICb4a4Dl65yBYAcAO/xNu8E\nkCX4zYPgZuPilqrC23EJQrPJlrYXwCpwD8UDAF4DN5tsWZvB5dw2gks5eRFcFoSl7AWwHUAHgAlw\nDvx2cKk1umwEt6S2gb83n4jX9RzNl2bStY2Njc3ZgJWGyTY2NjZxw3aGNjY2NrCdoY2NjQ0A2xna\n2NjYALCdoY2NjQ0A2xna2NjYALCdoY2NjQ0A2xna2NjYAAD+H9GlyN5o4WYOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116d71940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap=plt.cm.get_cmap('Blues', 6))\n",
    "plt.colorbar()\n",
    "plt.clim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The discrete version of a colormap can be used just like any other colormap."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Handwritten Digits\n",
    "\n",
    "For an example of where this might be useful, let's look at an interesting visualization of some hand written digits data.\n",
    "This data is included in Scikit-Learn, and consists of nearly 2,000 $8 \\times 8$ thumbnails showing various hand-written digits.\n",
    "\n",
    "For now, let's start by downloading the digits data and visualizing several of the example images with ``plt.imshow()``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sNlMvt9FoSLValZubG615B3t4toScbFgBFm870BaxJ/8r94HPZjP9sHd3d2U0GnkOEnE6gs22U4ZNHYvFZDKZaBG6H0AGY7YvGCMfcq1Wk/fv30upVJJ2u/0geWYTaJY94Fqss2Ae9zaZTCrg2gA+pVU0QTSbTa0phjGk02lJpVIetrOqkUy0CSlueBsz5yDCVHhWsAbbiMIFt+7uQ9sFORgMNAxi6zIB2d3dXclkMpLL5fS94Qm569ze3pZEIqGAFolEVn4PNnHLZ07VAufD7aQCWK07zAXHMycUsUoSeF7ow/5MPMNYLCbpdFry+by2y/N87c/hZ7ngZWPYy6zV7TaDUfNqNBpa3gboEz9+jo7ThUHXFtzzkKk2AHS5HbgN7EO0QX9ihH667GTvCRvAbClt4lUqlbQX3LrhthWUWBkgaJM+62K6HPx0Oq3/bb2FnZ0ddYF4n7bqwtZF+gW6NqnDf7vVLNZltLXZfPY8Sw6rZfTzXGg/zRbhdzodqdVq0mw2PaA7nU5la2tLYrGYZDIZyWazGlvksEI0bOiJxBElb6vuC4CI5A2VIbZEkLPI9/NnytwgNDbZ40db8+cSfLyI/RNayGazkkgk9LO3P4O94ILuvJ+9iM3zdAl/0NhzeXkplUpFy9Zc+YJ1VtIsDLocMMt0aY2FgnPTUgpiH54bfxqPx75mf7nZut2u1Ot1aTab2ilDy2q1WtXkWbvd9sSPYXKPMV0/Wfk8o8JjNpvps3UFT3hfJDC63a6H6UQiEd+ZLgeNr4CsvYxJsNhLgKy0y3RFRJmFiDc+6rfZxC0uJeGlfr8vo9FIQ0pceLlcTkREXed6vS6TycQTSyVRtbOzI/F43LdQDs+YmlsLQpgFFVttA+jZDLvtqlvFo7BgyWXjJpFg2jDdbDarbcjzmC4lpNZWvSA4x+wvQJdcA30F4IBNoJO4+6cBXbfuzzLd6XTqKWPCFRbx1gVaput+EH4y3V6vJ81mU8rlslxdXcnV1ZVcXl7K1dWVVCoVBQVct3kHxmW6lj2sK7xA7NbGcF2mi3YF4YV6va6ZVduu7DfoEhMU+cR28RJsDNq2r7KBYW0A97zwwrouMps4o2i/0Wgo6NL15YJuv9/XZ10ul7WCBBDDq7N1y6uaJSY8Mwuc1iy48O/Yr6zNhhdWXZcLlvOYLgnXVCrlCS9wQfGzPsd0behiWdC15W1upcLFxYV2VdI969Y/r9MWSqTZmK7IJ3eGjK9lgst08fi5adl88Xhc0um0lqDMZjPZ2trSpJothv7Sz13X7WfjpLYszzZJWGlHmlHojgEwksmk5HI5KRQKcnx8LLlcTkvK/DIbm+fATKdTDWsUi0U5OTnRsI1lbByAZrMppVJJ/w3ZYTwkfs+yz9sKBt3f32scv1QqqRQluhWBQEDLgayHRtcUGgflclkmk4knZ+E+Ez+MOHEul5OjoyOZTqceedRUKqVuMC8u6EDgY6tqtVpVoLWCMfwdSeJFzPVoCCHZBhwb2+V3fCmW/NS/W3SdNhlNiIizxPkBD1ivFa7h76z3aOu3V1nj0ok0EVFwI2YDs/rcrereQtTELVrr9piRXY/H4+oOohqVTqelWCyqZsDNzY0EAgGN6Ty2VjeW7VdVgP0dNuhPdpdLwbZWNhoNqVQqnvpdun+y2awcHR3J8fGxHB4eSrFYlEQioR6Hn2YZmYhILBaTfD4vJycn6vUQb7Y6Ea1WS4F1MBioC4o7bwvNl2E68y4uFNHQCLm5udH1hEIhbd6BHeI+81k0Gg0plUr698R+7SH0Kx7NRbS/v6/P1bbNk2UncQkA80xxlwn1EO/lwrANNYucN1sBwufJM1ynFsky5uYY7MuGEkREw0TUYduQF6QCYmmLA1bBqqVAl5uNBeF2wxQ+lxSbB2RsZr9qHLkIbEw2nU5LoVDQWO+7d+88zOAp79nqv/pl1kW0B51DRviAP9tyN8rcAoGAJoAODg7k5cuXUiwWtdd9naDLn2ezmeTzeS0dzOfzmrQkiUmZVjAYlOFwqAX1lnHGYjEPa1oWdG0tOa2eV1dXcnFxIaVSyXNpAHRubSutoo1GQ8rlshIKGlTcjiQ/jLWIiJZgUn3D87It6xZYWC9gaGuIRURSqZSet2VK9SzouvX069IiWdTcJg4Yub0kbKcbpExElHiBRRA42yDhR0fqykw3Eolo2Yxlul8CXX6OffN+GKDL2pLJpGdTDodDaTabEgwGFXAfe4DPyXR5JjSIULRfrVbndnqhfUGckVKnw8NDefXqlWSzWU/pnt/GM7PxvUKhINFoVCeEXF5eyvv372U2m2nCEpBtNBpaiSHysSwuk8no+7G/YxGzoGslA9Eh/vDhg1QqFe2Ki8fj2mjigi5NPOgZwxQzmYzuM1sZ4IcBugAu6m72ZbtBrSgS31utVrXawjZSWMBddP9CDAAx23K+Dn2EVczqVNgBC3ylmUtENHxg/y0XPiESzpFfHakLRddtMk3kE/3e2dnRbPvnFmTBxWoDiIino2cVxkvsysasLGje398re7y6upLd3d1HAR+QxVXxs2BbxOuyURBum0coawNwYb8kfnB1ERbJ5XJSLBbl8PBQ1ZzmJWD8Mvs5E/+i9prytfv7e83+05vf6/V0H9F+m81mVYeZJNIyIQa3+5B4OLKBtVpNqtWqTKdTTfrYQncAOxgM6r/jssMTEfmUpbfA64enZp+jyMc9mE6nNZ5PzbB9UWsK2FarVW3L56IgJknF0DL71y0PdImINZeYuLWzFgvmxYNtLHgZs7+HddjKKYxLic+cM2n/P0k/Pt9VP+cng6795TBZbj5a+Wy/9Lw3b+XqYGrEo9y2xnXVbD7VWLNdL+I8VBCsatPpVIVXSOxVKhUplUpyc3OjQtBWTL3f73vi1jCjw8NDyefzGsNdtcB8GXMrEHZ3dyWXy8nx8bHc39/L7u6uR9UNZTomEFSrVY2/x2Ix7W5adP1ueaIV97asD2lHEdFnxj6ORqPy7t07KZfL0u/3lSWSoCWxZQv/1/GcbbkdQOyWYY5GowdVNZaZ2s7RZfU43HLPyWTiYX5Us7jeoQVoGDHskz0wm3ln6VmNg2UEzG3YSEQknU5ra+/Ozo5kMhnP9BKrH9FqtTw6LYT6QqGPqon5fF7Desva0qArItoazCJsZ4d7o7mUn7iQyKfefjaYLUD/WmZvdED39vZWwuGwr5oQNm5I7JBxJ4zBsTKUg8FAS8LS6bTGqo+OjjzVCl/j4nJBNxaLaa/91taWpFIp9TIQ6AkGgx7QDQaDkslkPCx+2XW43VMwqEAgIPf393rgieXZet5IJCJnZ2dSKpWk0+koK7egm8lkVgKHp74XQFfEW06FDYdDj9try/kIWdlY5rKEwYIusXt7wYs8nINnW+vBBSvSf3t7K8HgJ00R9jVlZos+VzfBGwqFJJ1OK+Amk0nZ29vzNE/1ej2pVqsSCoXUMyN0wsU8m80knU6rMNYqMeylQJeHDOhSfuHKsbm1vS7T7fV6Gsim1vA5NGufarw/LohEIqGswU+mi64nDNcyXVxFy1RgBdlsVoVEYLoWdFcthl/UbDiAiopcLidbW1taBnVzc6MAwhwqYr0kVC3gUoS/zDos0Lpsl3IwJqC4oubhcFhrORHZB/yoQ81kMtoBti7QFflUmsnv57PlfA0Gg7lMlwuFZNsqUp+AGW3ogUDA02bsMmw3AQ3T5fMG0Pr9vib1AF1qe5cZ12XXCfja/E6hUFAxKV6dTkfJFCOkeHZ44+PxWENgNia8jC0MusRcuE1tgur29vaBDq4bx7UPHPeSwD4PzALG1zLrnrlatX6VyAC6HHSaOABchJXd+FQ6nVY36fj4WL777jvJ5/OSy+VUKnFdcdzPmfuZ0eTBZdXtdjX+z2VjKzZ43rZJYRk3+DGmC+gSXqAOejqd6kGs1+uaUKMmmppjwgu0uWYyGU896jrMEhHAwGWVt7e3Crr2/7nCNKvmJAAx1jRPdY+fa4HWsl0AzIIuexXNWiRhVwkv0LgFI08mk56QoVsNNJvNNIHNv6O0jDAD1U/PwnQtcyBJxSbDJSM2Quyx0+nI1taWJ2tI37std6LrJh6Pq8I8meR1soenmA38r6NywS1bIkPqjomxzRNshtvbW+l0OlKv11U203oRuJuW7bkAtIpZ9u0O6bOekD14eA6wStx7a6iUraKlSkaaMfCU0iG0juYHz8wmcwOBgJIIKzgUCARUdN3tTPTTM5tXougmcGyCEOCgqsFWFtmSTlcsfpk4OZ8v/00M1naiBoNBz9BaLlgANhgMagUOSUkAkgvNrnXZy8x9Zna/b21teSqabEzcLQQAqN2Y9Sr25Hdk+8FxdUS8LZYEo4nb0XhAPLTdbsvNzY00Gg2dhmCz78ViUQ4ODrS+lKGF/6pG2yTMiQ1A6IXEGV5CIBBQV5FecpGP+gB2LFIul1Ng4FBY7QY0MVYBCQ4Wr9Fo9GBsNvE7Xgiz49K1Wi29VDh4thZ6WTcYN5w4bKFQ0M6tVColx8fHnjIi63nZRB8xXLLd2WxWO+jWAbgin/SUbR2u2yyCZ0Q1BtN4qdGdzWaeGvVkMulR+1qWzLAGPhcr8E8JHup3TAkeDAYKpLFYTEKhkCaHUU5zScc6qkLmvRdIjyUk9ndZz9sVDVrFFmK6uFIEuEU+gS7jZSjkpsTGumjUECLMPZvNPFJwqMyTvUa39V/VSCDy/smoc4E1m00t8QkEAhpPJgYqItpWC9hms1nVKuYgUI8ai8UUiEhcLmt2MCmzsWyLLHE6C7p2j/CyG564mk3ELmoWdDnQIh8BwiZRbFfVcDiUer2uwkiuF8ZXK95is/Z+hsJsrTZiPDZUEgwGtfzNjjsHdOms4nlGo1GttLBt+suCrq37tQL/VBzAdDudjgQCAZ13RulaKBRSlj4ajfTzsgBOLNcmBv22eSEot9rHXnRu2HOVNS3EdG3Sy61rJBOIKDSTYCnDsONbGMFMVxvxu729PTk8PPTEyf6VQRemS3gAz4BnmEgkpN1ua3kebHc0GqkkHW21tNIiS2hBmKYDC7irhkhguvV6XW5ubqTdbmtVBSAv4o3tWaYL27Xxyi/Vfj71mbJvAAVU1yy7tWVrg8FALi4uJBQKKQCPx2MFXC6wXC6nwkeum74O0MXTccNC1HHT8IH3SOMJTNdN+q1a3marU6jLt8LplPgxAXo4HD7wtmDClsVTl22Z7uf0GlY1G/e3z9WCrP0+NzT3VZguheVu1pLNgmbleDzWQDVShDA1uqjoBspms/pah7m3l00KWuUrt6Db7Z7zM64LMFAWhRAPspM0C1CqxjMn3gl7BCyI8z428w13mVbbVcxV7qrX6zpRhJeIeJ6dfW+MZCG8YBnPql1ergvotrxOp5+mFfN1NptJp9PRkA2ZdjourUzhOjWVSSYSjqNt2oIQLJeEa7lc1jInCJFloMlkUtLptEo+riKAZM8Re9c2t3A+bKkln6mdusJ7AZBdCdN1mw0t2AGUVr7UgrCf4P9kpssCOayodxWLRTk+PpZQKCTJZFJERDqdjlxdXSkoWGEWOoB4kwi0MNpnHWZvNhGvOhrZUmo37Ygc6gmtOhGZeL/0F9xCblo/Z7OP02mRGLQg4brGlJGJiGoaWAZBHJfC81XKXTDragKQuLa0zrrlQ7T/MlEinU5LMpnUsBKTY/f39yWTyWhiZh02rwQSY73Uj7oyhXYKgt9GtpzEE8X6tsGAS44W8V6vp7XQNMzg5WSzWQ0tPKVNfxGz4jzUCtv25MFg4BHcIetPhxxaG4VCQZPn63qu1mwCm0YPQppW8c7WPM9rMsE7XTTksDDT5b/pQS8Wi3obh0IhZQwkyizToasDiTrU5ff29rTmcV3Gg7YxP+t6iYhmWe1tDXsHdFEk80Pgw374Ih8BmLWwoQ8ODjwtn7BZXsTHRT41WyAgYxNnyBf61SvvlhBSf0ntqy2GJzFGKGo8Hks4HNZQyP7+vhwfH8vR0ZECbiaT0Y2/DrMXsY0d2osCJgfoulMQ1mG2TJFuKNs5xV7k86cSCI8NUGUuWSaT0fPGXlgH6AYCH0WXEOUhp0NYi/DY/f29stp0Oi2ZTEZBd52XmWtuo4cLumiDoXz/AAAgAElEQVSEWwyzyU1bseOGJb5kC1cv8BXwLBQKMhwOJRQKeaoUAAIbC4FZ7u3tycHBgRweHmoZDpt5HWazrjbWZzO7XBbUjVp2Rnyt1+s9kIZbdV1uITchgFQqJXt7ex6Gy5+Rd6zX6xKJRKTRaDxgvxZ0YfXENf3qqLNskVgzlxMz23hOhGQAatg9WhHHx8dycnIiBwcHnhKkdcX0H4vp2UsCpptMJh+dguC32cvJqs01Gg39s9VShj3CcGG0Np5PTNo2ivjxXIl3Q8LS6bQm92CH/X5fCQwJ4Uwm4wHsXC6nk8P91H5+zOy5AxNI4KGrzDQcGK6NQ9vcA/HzRc7TQqBry0XIuCOiHQqFpFQqqSteLpd101q6Dui+fPlSvv/+e0/QfJ0F/Zb+wwii0agmSGwdKXV83G4kCpGz86sjTWR+IXcqlfK0TrvAWy6XtaQO9wfRE8ILIuIpw4nH45oN94vpzgsvtNttqVQqUqvVHojD4/5ada9CoSAHBwfy4sUL+e677+Tg4MAT81sH052XSLFMl2ePwtTnpiD4bTBCQJfnybipcrmsso14ZJbhomtcKBQ0sUpbrd+VFrBVOg8LhYKn25CyMMIjg8FAn5slFrRTr/Myc81t9LBMlzphEVFcsCyX90RIZ9FnuvA7tMXGBKGtmDML5Vaj2oECY0vr7aSA5zTrVtrMpBs0Z1O7xep+NkiwHvvVHuh54E4mmGywZS6uK+d2A/mlkDZv3bYZgkoBa1ZVis+AuDP76DmSKPPehz009vnYpiCrC7LOqhrbxWnFuElMuYL7XLz2fNkpEX40w8wzW9EUDAZVWc4+K56TbTLC47Fr9bve+XNmLx83Sel23WK2K9T+9zJn6V+38+Bf2P6Vy+ieyzbPcGNfywKfQ+pAIPDPo0z8vzabzeaels1al7dvZZ0im7Wuy76VtX4r6xT5zFr9dJM3trGNbWxjn7dNeGFjG9vYxp7RNqC7sY1tbGPPaBvQ3djGNraxZ7QN6G5sYxvb2DPaBnQ3trGNbewZ7bPNEd9UGcZmrUvbt7JOkc1a12Xfylq/lXWKPL7WL3akPVZSxjypWq0mtVpNqtWqtirSrnhwcCA//vij/Pjjj/LTTz/JixcvHsioLVKk/qXvpUOEdli6eKrVqsrgXV9fS7lclnq97lk/7ZR0xtDiiDAPraDFYlFfTN9FGR8R56eu9Sk2HA7l/PxcLi4u9CtyfjzryWQif/nLX+TPf/6zfk0mkw9U8Zd9pnd3d/qsULji9zPLrV6va+cbbdI8fxSn6FLk9waDQfnhhx/kT3/6k/zpT3+S//qv/5IffvhBO9NQSHM73xZ9prTUogvRaDTk999/l99//13evXsn7969024qq1eRTCYlkUhIMpmUeDwu+/v7DwaBPrYuvz7/efv573//u/z3f/+3/Pzzz/LXv/5V3r59++Df/fjjj7of/vKXv8iPP/7okU7047mWy2W5uLjQvXl5eSlXV1dyfX0t19fXcnl5KXt7e/Lq1Sv54Ycf5Pvvv5fT01MV4+H11Nbfp55/K5x/d3cn1WpV13V1daUTnq1wEK32vV5PZUet3kwwGJQXL17I69ev5fvvv9f3gjgTLzvO6DFbutGZkRyVSkUuLy/l5uZGdXMR2EaHAaV7K2SCirzfnUFWA5c+aTt9mIN3f3+v41vsg7J6AmjXdrtd1Szg+wBnKxjtV82zbTFEl5TnWK1WVfQE7VQr+m41BNy2xWVk6Pi37rRcxsU0m01ptVrS6XQ8bZ680AFOJpOeNlW+np6eyvHxsRQKBRU9WlVP1zWmXCCuj5ZBvV5XzVoEWobDobYkW6WveDz+YLxUIpHwtJGuQydi3n52xd6fy+znavcEU2HQ/xD5OFcunU6rdGKz2ZTz83PdzyIf29nXoZ9NOzpCNXYUE/opKIShX8LUilgsphecPUOcH7RNSqWSTsng51gs+Zz5ArowMFfz1Yp2oIjFVE40bddhPHR61nnoVqIRIfZQKKRTDqwBeJPJRKfBwtRsLz6957u7u76Arv2QeR88RyYGIPdnlfctS7c/y4LgMjJ0/BwUo1qt1gPQZQqEa3bcDcLflmlFIhE5PDyUFy9eeEAXhu5XLz5TLprNpoed8yz7/b5ewjxPZoxZ9msFifL5vIxGI730RGRtMpTufgZ4/dTReIq5exNA42KaB7o7Ozs6fZepzyIfJ0Vns1nfLw17bqxmhSVeTIAGLBGGsuOwrKIYzxwlPcZMWeBOpVJP/ix8A9137955hFbsGB+YLhsXwF3HhrHMgIfnMl1GgSPqjatlBWFguNYFYTy4Kw7OdFk/mS4sxmW6lUpFer2eR8+T9dhJpjwHy3qXkaHjZzGGmjl3lUpFGo2Gjolpt9semUe7LmZ0IYtodUvRUwZ0EU/xkznaeW7lclmurq6U6bZaLR3/budhWUEW+5UpEre3tzIej/VZ8pzX6bnZydqrTEteZS1WAMoF3Xa7rd4gw2v5fkTXIV/ZbFaOjo7WwtQt07UhLst2ISoQL/ucwTFYMf9O5CPutVot9Yq4hIfD4ZPfiy+ge3FxIWdnZx7XPBAIeMILdqQyI1DWtWHsTcctx+YgfgMgMMokEAh41MQGg4GGFJhsysQDVNIIk6RSKd80aq1L48r84R4zqZbn7brkrrITz2QZGTr+LQLlMN16va6jmAAufj+smwGOzL8DWG2sFEBGfhCVMT/By4YXbm5u5PLyUtcP02X+HGZj87zC4bDk83l9v4wQ53NYl7n72UoLfg2mOw90CS8gMwnoMsePi3l7e1uy2awcHx9Lv99fG+hyduaBLlrfdsYblybGuWfAptXXBvv6/b5Oz7FTMr5kS4OudTWYooAwOEyGgwUANxoNnankJzN0zY7AYR3ZbFYfTCKR0HXy4oHiXjDvC+CFBSOCbpMSuKV+ucJ2kzSbTY3jMrli9r+jfCzo7+7uyt3dndRqNfn99991fL3V6+X7rYbxU2ye/iwvm2iw86bslJBcLid7e3uyt7fn0dPlc0C/dNkpta5ZGcvJZKKXLWLgjUZD43q4hu76g8HgA2F464FY3d1VjXPguu9cdgAaORM7bh1maT/rYDCouZNIJKJx9VVDNnYfEK7i98IaSSzzGbfbbRUL5/y5+RYmU/slm2m9FDttmynPdmq1Fcu3HuFoNJJQKOSZ0M3lCqng2fLfT1330qCL+C8POxKJSC6XU8V6Nys5Go2k2WxKKpVSIfB1gC7r2tnZ0bjNZDLRYHkqlZJOp+PZoEy9mE6nMhwONbPZ6/VkPB6r62mFz9PptI5v8RMwCGsQI6tUKlIqlXQW1ng81rAIz5uExWg0kqurK2k0GnrQ0KolaWHHAS3ivtuLDGF6LoednR3PyHK+D8AlhLC/v6+gz4vN79egR7LXNunkgla73ZbZbKYuJqPJuQBisZiEQiEFaFgxh9jPBLAF2nmZd+bK2Th6uVyWZrOpsWgR8VQFhcNhvdAs8M7TuV3ELODyO+1kkng8rlOp+cpzA8gGg4FOh7i7u5Pb21uP9i8AtqwBjHYqBPHv7e1ticVi0u/3NdcAdonIA0/XDn4FQzhL0WhUZ88x8WLtoGvZDYmSbDaro1eOj49lPB5rZpObmZE3zwG6MDwAk0kF/X7fM4aD2I+dcAuzJItpE2bMVsMlRkzcD7OjzSkJK5VKup77+3sJhUI6koWhnrhNsDgbAmFyhJvkWOSZ8v4BJ6ZYIKbOcEz74mLK5/MKuvw/DqsdUuon6HLAqbiwwMvYejsanHldDHPc3t6Wy8tLOT8/l0AgIIPBQAHXT7FtGyclhm9HxROLrlQqngkSgC4JHs4hFxkljHbSriUay5it7rExeztkMpfLycHBgezv78vBwYFUKhUteyPZChkjdMZlLSK+hGnYqzwXwDIWi0k2m5XhcOip+Nne3vYIxnMGCUltbW3JdDpV4mEnIKdSKT3/z8J0XQpPcJw6tk6nI5eXl57sIWPF1xWPch80GyKVSinzGQ6HehFwIJmPZpNWjOiAMXO5MAmZMSN+Ml0uqlqtJldXV3J5ealJKyoWAN1CoSAvXryQfD4vFxcXGrO8uLiQYDCoBy8ejyvDBWAWcYvtZw3oWvcV0MVdg/kAuoVCQYrFohwcHDxgZK7HsapZ0CV5CuBa0MVL4fAQ/mAaMfPGKBOq1Wqe8fB+M12bLLN5iE6no0y3VCppPLperyvTtUSDBGUymdTQGZfcMuWC1mC6rNt6ucySA3RPT0/l9PRU4vG4xkDr9bqMx+MHTDccDouIKJCvYuxVvlK2CD7ZBLR92Xloo9FIh74SinNBN5VKeWbmrRV0LVDCdHE5CSofHR3Jq1evpFqtSq/Xk1Kp5Ak+w3TXZe5tzrwj7O7uTsrlsoRCIQU5DiuDKHu9nronuCKpVEoTbySBAJllh/25cTwGe9LQcXV1Je12W0MLzJ1LpVK6wXO5nNTrdU9MNxAIKBtPpVJyd3cnmUxG56QteuHZmKcto+LvbIzXlorxsv9t/7yOCQ4WvMhW28oVYouEQJhGTOPD0dGRjhPnInMvCD/WDcO1DIuLgler1dJhj67XQ5hORHSfcilyIfKs/Zo9ZhsqbLgpkUjIZDLRS3Z/f1+rE6rVqiSTSSUnnE37vre3t30rgXPP/2MjoOzvYq9QpWALAkREQZfLmNDZWkGX29gOTBT5NOTR3qh8yASnCZwDtrZ29GsYJWEwb+J8dnAjyQjbzHF4eCgvX76Uvb09yWazCrjLsh/iXPZFDSnuZKPR0AF4xJAODg4kn8/rUECbJIEx2QYPXD+71lXNzWITurBME/eN99lsNrVzB09hnVn/xywQCChJ2Nvbk9PTU9nf35d8Pq8DPwFWmwVnb/hVqmUbDAgPtdttZeNUq1BuZWu0bQH/1zIaRdLptOTzednZ2ZFMJqMDJsGJeZ2JVNPYvMNzzUgT8eLZZDLRph+8CrrYGLZLiDIWi2mddqFQ0DNpO/y+ZAuBLhuOQL+Id7IusSMbsAd0beEx1QBfy9xOLxd02RDUZPLC/Tw8PPSMjLZDORcxWmVhYHgFsBqm6uLCx2Ix2dnZUdBNpVL6d5ZpE/eFneLu831+uMe2CJ1DZeuKYbE2OVmv1+Xo6Egzw7QqP7dZ0N3f35fT01MFXECXihyRT8yZvetXJ5htOiHURcccnz2VCjYU5lbVfC2zrnaxWJRYLCaZTEZisZiCrtsVSnmeDdktUwGwitm9y6vdbmtb8+XlpVxfX+szv7291ZJB3m8ul5NisahncBGv7Umg+1groshHGk43B6DrFurb7pCv0b7omttNA+iS5CPmk0wmZX9/X05OTuTk5EQrBagCoJXZdUWeajDAbrer3V1Wu4IsNb+LOJILuvZ523AFt7OdvLzsBTFv7ewHgNYFew5bp9ORWq0mlUpFu7gYM/81jBriTCYje3t7cnJyIplMxpPkGw6HemlQaM979Yvpsg8JI5A8RSPg+vpaKpWKxnjZs5wnCNBzsUPXbEv0dDqVeDyusWSSUy7oomtg9+dzg66IPPhc2+223NzcyNnZmfz2229ycXGhnhzP2IYWYLp4w76DrrtIbnwRb3iBOJIt1Lctg7TWcUN/zfAC7bUw3U6no4kqQDcej8ve3p68fPlS/vCHP0g6nVZGb5MTIssV88N0Af5yuaxiNpVKRarVqgbz0Yk4PDxUVxi2betlRcQz5tzW51rQXXVzz6u3dJ8F9bE8s1wup+9jf3//q4EucXFyEKenp6qjQLIIUuFWFPi5d+dpWlxfX8v5+bl8+PBBPnz4IKVSydMwY8vLsK8NuniGo9FIz4ZlurYrlBDjY0x3Xa3Urrnj7WmAOjs7k19//VXOzs70vdgzb8MLxWLRU9vtO+i6xfEsIJPJ6AMlm09MjI1ie5gt8MJ4VwGuZYwPm1s6n8/rJh6PxyLy6bDhEnU6HX2wZFj92CDWPacMi244bmGeGzEx6oxx3QOBgAoOIYTDOqk4cMMLi5h1rcj2c3hsDeRjNp1Otd6RROo6u6lsVp1ieMJe7DGSLbZG1O5DW4dO+MzWm1IVEYvFlLUtmhh0qw4SiYQmO9kDNq7sMlz+HrOehz1f625CoqWfPXB/f68hM1ecCW/Cgq2fOhtPNbexg99v8QoiSdI8l8tJJpPR5BlleIt6uk8GXVxGGBRdHjDewWAghULBk4iw2VkLuO7GsA/8OR68ZTp7e3sesRNuPTLeuPy4nLlcTkRED+IqZtkL4MpzAZSIP/f7fWm329oEgcsej8dlOp3K2dmZlMtlT9UF2dZ54YVFnjNuIA0ZIt4yMqoAXLOddcTL/WaLrs1rjiGJaBsw3JbWefsQkKDDCkUqlKZqtZqCHvHNRcw+V5KfXASA8N7enkczgGfKVxHR58nesc95nfoMtnqJ/7YJM2RV0bZA8Aowswk0v+ufn7p2zgr7g6ocKjIymYw2Ie3t7XmIpe3GXGTdTwJdy3I5bLBEEdH4HXVruN1u3M+yNzYECYvnfOA2kcJmDwQC2nIZCoW0G6XZbOphs+3OvPdVzfbVE7qhccSGZoj7wRZtOdZ0OtWwRLfb1fdkW6FXiekSz0okEupK2p8fiUS0Dthau92WRqMhs9lMQRemtq7QwrzmGFtLzXu3TQnsRZFP+9D+HA4gnUsoTdVqNRH5BLiLgpt9rlbVzHoUCApZ/QISa4Qn5l3e677cWL9VWONCotSOFnZU/bhgqAiyntdzn39A15IT1mQ77DKZjHZUFotFre+2zSaL1j4vxHQBUuI1NmZ4f3+vbZQwXQ6Xq5DkAq99GM/NdLe2tlR7gbgOMT3UyABkEdFWYj/qjN0E5bzQC3Ff4n48f5FPXgElL2jDEl6woGHDC4tucMABF5ISGduJNE/asVKpiIho7aMb01+HzWuOeQx07f6ctw9tviKZTGoRP0wXpra7u+tRHFtkrRxeWCCaFLlcTgv0q9Wqvvh+EfEIM1lyg8dGC/u6mS4XcCAQkGazKYPBQOr1utzc3Ei9XvdIqaLPYAWwrOf1nEzXgq+VG+Xyo92/UCjIwcHBXKbLmtcCuu4PBlgB3clkouVTwWBQXWS3VMwFlK9Rr4tbJyJ6+/Z6PalUKlp3R5yKW3s0GingFgoFrXKwz2XRDWM7hNgAHHZaGYmTEUfkmbnle1xqKF/ZuKYVlXHLy576vGw7NXWYlkmzNhGvuhlhEBHxlOisM6bvFsdziOz7tmEvuqLcdmTb6oooSiAQkPv7e63xTqVSWpWzDOjyOzEYFiGFTqejFSq2DptSM7qu3HZi+3frZLr2Wbke4s3NjXS7Xa3hpqrB7sXnTJ65a7frt6ALkbAvy9Dd6qxFbSXtBYLQgAA91igy2f5wkU9dHoCK61o8dyCdtYuIloehb0CHDZscAXRq9xDFsUIdi3b9EEtCEwIQ53DRBWM3JoXlNpHiNquIfFJ8o4MOnYhlW5ZZF0wbBghoRiIRvVhhXPMSDNbrub291T3gvk+/DTeSw0J/Pe3Wg8FARWJYr6ukB8PkQrQxSb/WbfVMOFduxYwVrXffG5fEquI2TzE3Js4ZabVa0mg0pFqtyng89rjv6DOgnfy1Ki9cs9oq7AM8hkajISKi5xMveVlbSXsBJsCfKdrmRbsioGs3iz1sz525tG4F/51MJqVYLGpLYjqd1s2DfqqNp/Fne0Muk6ACdG0ix8YaYVb8Ny4jYMtXDPBHIwIXKZPJ6OFdpr+dS5H3SKIKthaLxTSBQoLHfrY2sUpdLwpTFrzWYbbHHqAifAToclmIfFJgc+O+rM/Gsy079mMPuzHp6XT6QOdingYE+5l/ayU21wm6Nh9BiSA1x7VaTQKBgOp/JJNJFRUiRPU1WO48sxVNrBVMQ/dERBRwVwkvrix4Y91iQBcW6DJdGwOyMm7WxX4u48PmfSSTSa1iIKZ2fn4u0+lUR3wAuBZ0Y7GYiHxy55cBXWYrRaNRPWhs5Mlkoi2iti7WJiIpx4HZUD9pmW4mk/GIzazCdCkhsxuVJg/cXZiu9WJc0EVij5+5qqzfU9bPi/XWajUt+xIRVaODadpWUS433jchi1VcTddsggdPjCSo2/Fpzw4XiquLsU7vwbZ883la3eJKpeK5LGhGscmofzamS9KUPYEyIkqDdN99VdDlkHGo7GZuNpvS7XY1yQAj4AZe5yH7knH4bHhhe3tbGS9Z93a7LdfX11qyZUML3W5XREQ3+zIxPRgyNyjxcBoO7u7upNVqqRgOrrnNugMGAACbxwVdGztdNv6MsUltWRu1w4CqBQXMFaMhVkpydh1mWTp7jlrSWq2moEnyBG/nsbIy68b7LffIvrTlTG5zixXOt+TBxtnXoYjmmm2YGgwGGl5AM6JWqz3QZdjf3/cw3X9W0E0mkypHS4t+OByWYrGo47KWtaVB1xWKvr291Z5xXjZ7SRkUsTQ6sHq93gMwsCx4FfUuvlqmMi+Bx41G8oIpF4QVaF203TW8KMC32e+nGkAg8onhMOWCRF04HPaUDLGmbrerm5zWWiuwjPwiB9Cv1t/Hnintvm623WoAAxpWGMl2L67rAHIpUuaYSqUUVMm026w18ep6va6Tre/u7pQ9UhHhqsz5aZbB2q4nO63APjPb9YlnhOfJGbVehx/PGoU+y2yvr689YUW3PBQlv16vp14d+9ON7VvvZBWb11zinv9KpaIz8zhbJEvtFHHbUbesLb1TiImxIAQjeNk21k6no2+WOVvlclk+fPigiQseMqzPCkwv+tBtAgSgnye4Y78P1wjgaDabcnFxIdVqVYdSkiCylQL8vGUzxNZtF/kUMyJkQGWFfVWrVX3OrMeWh1F65DYErGJfeqb9fl8vWl6VSkUrP2hSIAvsar366aK7RoybC63T6WgoiJpbewGIfKwicCd2iIhebMQnrWThOi4NGzqwspg2rMHngZDQdDrVs0l3G7KgFthWNZ7dzc2NXF9fq2ZErVZ7UGlD2SOuOgLmvV7PExKxoRG/QjeQQttg4p5/twW/Xq97ZEFtB+aq3ZQrDaYk+4v0nJ10QKE+C0fhnkF15XL5wbwubvVUKiWJREIz8otuELd8xs48o67RZWqIRfNCNBq2Zh+428iwSruldX2pH85kMlo/zGw3OruGw6FcXl7Kzs7HETkwX8IKJAJsbapfoPu5Z0qNM8LrFxcXKiIEE6epho4kEkRuG67fBsumwwjB+slkoh6OzVFMJhPZ3d2dOxYHAEer2Epmrmv9lu26Kn42Vk5lC94kgAvjtYljP0CXZqJyuSzv37+X8/NzDSsw/spVGsPz4c/sWfYtNfNcMLbuelmjxA8yRYecjddXq1W5vr7WKdGNRuPBjDxbGvhVQBemW6/XVREJLdhSqSQ3NzcKbjDLcDisoFsqlfQw2NuXdlvbXrmo6+YmQKyiGOLPNk43mUy0xKVcLqtrjK6pZepWXd6PYn9bKzibzRSEdnd3VeneHS3EhdRut+Xq6kpEPoGBdXupKfQrtPC5Z2rHm79//17Ozs60PlPkI/DBcu0BI3lon4PfRkgAdgp7AZQ4hCIfXVGEW9AzRo5Q5FP3GT/LhknWzXSJIwO89nO14Tsbh3S1d92E6Co2Go30LJ+dncnvv//umboLsFmmC9O0YYREIqENR3wO6FnY2PayRht9s9lU78tWAAG6YBefuyVW80jWsrY06LI5STAxwA8Jv0qloi2jtmsF8ZNGo6GlR/w/QNgqEKGwtYjZmCOBfqoPGLltE1GTyURl9dCyrdVqHtdMRObGxPyIj9mfRXKGqoh5rny325WrqytP0TwsCBWkVCrlG9N1n6dlKsSa2bSEFq6vr0VEPFNXES9PJBKexNC6zYYX8vm8igRRHcKEZcCIeW9oLNP4w/tAiyGRSHhKH9fJ1G2ThhsTt+uGgQG2VhYShutXwpJ9gA4wWhTsEduIAlbQSm2NnImtyrFe7mOTHxZZJ0wXbLINOvf39zpludFoqPYKjJYkq19qaEuDLrFXO97cvRUmk4neyhZM0Np0Xc+trS25u7vTjY1rtEiSymoWWBcSgEB934YXaKMlacKGARCIl2YyGRU0LxQKUigUlFWuq9B7Op2qBCXs5fr6WmsHUfiCyZEtzmQy2gzhR5LHtipb7QFi9+VyWa6vrzVxir4yc7OYQ8ZMN8JKz2GAbjqdltvbWz3QMPbb21utwiE+zZ4jNp7NZuX4+Fj29vZU4nNZwZNFzNbtxmIxGY1GkkwmNcOeSqWk2+3OrbKwYQfi6oQp/GC6eBBIZBL7JNlMFye15rSyu8a+gsCxZ/L5vIiIdocuazBdQJe6bPY0uSY8nnA4rMJdgO3Ozo68fv1aTk9PJZfLzb08nvzclv6H//vAAV1XvpGuNBoH7EwsSnbIYNqgOZJqiUTCE39dxNxSH2oIeeiNRkP/PyCNm4zsIEX/W1tb+n35fF43A1+5INblXgK6XBi1Wk1ubm4UdC0LYwR2oVB4IMyxitnDSwwXdkvyhEqVWq0m3W5Xa57j8bgUi0U5Pj6WFy9eyNHRkZYMPSfoUrlAmMACLpoWlDyKfGRHAB3JHfrvGXkP43ku0N3d3dVuSbwZwBeWCOGxLBP3nri/X0yXphjmhQFchBF6vZ6eC5JZ88DTnk/K9pC1pG56FYPpUjF1fX3tqWSwHhz7NhwO63xB4vfHx8c6zOCrgy4xTduNRleS20ljQZnb19ZP3t3daUcITHcZ0LWdRCT9UD1iLLRlxdYVs4IxNmHBOHEEjPP5vLp462a6JB+vrq7k6urKw3TtZwHTtZNK/Wa6uGrMkXr//r1cX197hj9SopRMJlUI/rvvvlPWS5vlcxhxWC7TUCikzKrT6WgLM6EcDiKgm81mdTxLsVhUpvscjT3sQztCiAGplumyd0mswdwt0w2Hw76KDdnLjIYBKoBsnB6my5CAee/RXmCE1gBcasCXNQDfniEbXri7u9OzDtGKxWJSLAvytJ4AACAASURBVBZlf39fx3QVi0UpFApfD3QJL1i9AAu4ZIStUMT29raOwrYTd21M9+7uTpLJpEfIeVHXwg0v0LAB6N7c3Dz4flvLh/tpS3S2t7f18BFeyOfznkO3joNHLSkb5vz8XDOs/X5fQRemixQd4QUY2aprcJsaELK5ubmR8/NzOT8/92gvMJgykUhIsViU7777Tn788UeN8ZJAew4DHGBO4XBYXVlqdG3MmuQPl0OxWJSTkxPJZrOqY+FX2Oap66f5JhgMPmC5SEMCuHd3dw+qGvyotJm3LkAX7RDrWfH7AV0b57Vmq2LQmqBTEzBf5Vlb0MU741nwFc0F8CqRSEihUJCTkxP57rvv5OXLlxpKJB+x9HNb9h/arKot3rZJM5t1tSrrbAg2Ou6HyKcuF7ekaxFzFZbsB+q6X2w++3v5OzdzbDvplqmqWMZcxm6n0vJc7DpZq9/xRjdWziEiW86abKMIDIaGiMd0A9Zt85oMbILXll6RkLJNK+xft1zrudZu3wPrtd6h/axtslfEu7/91ta1zUxWQ8PigFWeYx3z1ma1RPBE5jUyLGP2DLmKhzakQCKS9wTpotnIqvR9lUTaP7M95TD7ufnWbf8srZL/SvYtPdNvaa2PmT1v39LZW4cFPvcAAoHAP93Tmc1mc3fgZq3L27eyTpHNWtdl38pav5V1inxmrf/Xb52NbWxjG3tO++cQs9zYxja2sf8jtgHdjW1sYxt7RtuA7sY2trGNPaNtQHdjG9vYxp7RNqC7sY1tbGPPaJ+t0/2myjA2a13avpV1imzWui77Vtb6raxT5PG1frE5YpWSsrOzM/nb3/4mv/zyi/zyyy9SqVTk9evX8v333+vXZDLpUYz/nIzjl4rEH1uru46LiwttpaSH3W2VpZvKdqHl83nZ39+X/f19OTw8lGw26/tar66u5Pfff5e3b9/K27dvVQzcDsNE4g9N2lQqJUdHR3JycqLCMrQsMqHhMXm8p6yTcUZWW+P9+/fy22+/yT/+8Q/5+9//Lh8+fFD9VoRPnrJ3EEzKZDI6Q+vNmzfy008/yU8//SRv3rzRlsunrPXu7k6Vz+yEDWQnr6+v5fb29sHzYgZdv99XzVfX3M8/l8s9GC21yHNF5pTRMP1+X37//Xf5f//v/8mvv/4qv/76q9zc3MjBwYG+9vf3H8hhMuDUniOEjwqFghSLRUmlUo+uZdm9akczVSoVKZfLcnFxIZeXl3J+fi5XV1faCs5ZQ63txYsX+pV5aV/CgGXX6dpwOJT37997Xujoopw3nU7lz3/+s/zlL3/RVzKZfNAF+Jh9bq2+dqTZVlHaKe2MJLcNcd2aBW6Lr6uhaUGEA+POZkLbd13GGm0LKs/NTqtwW6HdqcrBYNCjnIX2ZzgcXmp+22NrdCUErUqTiLf1l5ZK28pqDXET2ixtq6Ur0r3Mmnlmds32z1YnBNC1kxZcs/PG+Fx4f6sKg9u2dffv3DZwF1zm/U6rtUAr7WPfu6y5gjro9jLBgv/PZ2EFZlCrY0Yi7cF2lJCf2GCfrz1frN2u2W25nqehvYr5BrpokdpXvV6XdrutY3vsfDKrFeC3PJ4LCMg2ooDVbrcfiLfYvnHbRx6JRLQX22+zIMur1Wp5RgZVq1W9GJibRj84UyKSyaQEg0Hp9/tSLpel3+97hHnsePhlLzp7WGBnlqUh5clzi8Vieim4egtWfSoej6uITDqdlmw2KwcHB5LNZpfS3LUXgztIFIBl4olVv0LW0Yp+u4bcoPWAEGcRkaUmnLgXmSUFAAOyh6zX/T2I/9sX38c+ccdi+UEkENRneszl5aXqVTNtwz7Xra0t6Xa7Uq1W9ZJrNBrq5fD543n6Nc/NlW5EcRBWWyqVPGOZ0I6werquTscqWOU76NqDyAeAxqY7SdOd/OmXMAu3r920AC/TIwBcXBqrfmUHY7K+dU04cBl3u93WDcH8OTvFmLUgIM8kBhHRZy8iOmIImTr0ay3gLfNMLTu07vhgMFDNZC4GnqGV9xSRBzJ+VqYwnU6rStqySmSwKqvvbOfMwa7sGBdXEGmed4AYC8+fOXUin6ROF93D80SEeCEAg2IfQuAuCBFesHPnRMSzR/DmrEe3qjGLrVarydXVlXz48EG63a50Oh3PmHIU5/idAG69Xpfr62spFosaPnGFiZiMsgo28BznnTFAl9ltqPbZoanzQHcV8w10GVaIZB6MjZHGjLHGxbOuhF83r4hXphHWAujCctvttk4LgLEATEzSRUYPprYOg+miUcuzazabHuAlfMBabUwXaT87mZkR0gyCzOVy6uahs7qo2WdqwRYQGw6HyhCSyaSCKWNtGNFjVbLshGBk9axcIXKMi5oLulz4drorYNZsNnUyASpTNlziPgOevQU3K724qLmut31Z0sD0XBgvxjliPYRqmCSdyWTUy7QhhlVCIRhMF7nEi4sLjy41oLu1taVav+hDW0/34OBAY+iItZOD4IyuYnaQKp5ts9mUer2uE6zH47EH6K2Eo43b+xES9Z3polsJS7NM107TFFkP0xV56Apbltvr9aTdbivI83uZugA4AXTERNehUWFBt9/vS7fb1YmlTGGo1Wp6mKwerNXPjcViCoIo449GI4nFYpLL5XQEEVNVl2Fjrp6uDS/AIknYxWIxnV6RTqfVfbQzxfgKSDCskpl4dv7Xomu1wzNdds7kYg6QZS42dv3Yz45EIjrZJB6Pq2sfi8WWBl03nm9zIHhst7e3j5KTYDDoeX6Mj0LnlhlkIv5NAhb5xHQbjYYyXRuH5nlY6UzrgfJnRvgwUokENYC76gUBHhBDZqYjidZSqSQi4pmizSVmR8L79dyWBl2rU8tIHKZtMpyQ0S2TyUQn05Jg4fun06m6nhwCv8weKpscI1ZrX7i31s2lOoBDxt8RdvDDrHtpY09sTDuzCfBCwZ5JBpFIRON+jEdhaKD1PNhACJsvspGtC2zF3q3mKc/WDm8kdMDLxs1xyW1Yx+ouL6u56+oL20GCNllitYfd3IKrTRsIBGR/f18vEzwi9vUqMX93f7qXgNWoxvXG4+ErzxzQPTw8lHw+r7O+/NBXthcEk2KIleNNWP1h3HREwbmUyfN0Oh1lxXZwbKPR8IzMWpXwwMjJkTC1nDDjdDqVnZ0dJV7kQgjb2UGw7v5198tTbKVpwHYIJbEdO0mA8RyhUEhSqZSO4Rb5GH+sVCpyd3cniURCYymruhIi3k3siqzDEpkCkcvlJJPJSCqV0pvOjge3oEDpy3NODYDF5PN5OTw81MPEXKpsNivb29t6g7daLWWL7nw13hsM/qmHzxWDt5UA/H8R0WfNBrYuL5cbFx4XsB38B5isEjuzn7v9+e7oJdxYXEg7ldp+r532WygU5OjoSI6OjuTg4EDy+byCCbHHZdbLBeACIy93rS7AwrTt5UV5W7FYlGQyqZ6DfQaLmvvZw1QtO7fC3wytzGazet4ikYiW8W1tbcl4PNaJMcTXCe9xKfsBuoyKPz8/l8vLS7m5uZFWq6WxbrzG/f19OTo6kmKxqLhUr9dlPB57SBjP3853XDvo2jgJY5gB3YuLC3n37p3MZjPP6A02i4hIr9fTUcgA7u7u7rLL8ZjLdABdmB7ur63VTCaTDxJp1s0FrHE9nhN0CRMcHx/Lq1evJJfLeWofA4GAxoJxe2EIgC4ztgKBgHobi5hbvuSWAPLMOXAAggVcWLZ9WZDjtWrczCZj3GkPtqSNGudMJvNg8qvLaLa2tjxz0vb29hREeB+rXBKWIFiPb95aqTHHI2Msk927eGyM9eFSWTZ/4laF4EnZcAFTiFlvMpn0zBk7PDzUMAhDaNvttoRCIZlMJrpXITXM/VsVdEmelUolrcslt2MHqOZyOTk8PJSTkxPZ29vTC6Zer0u5XPZ4m4RA2C9UOD1lD6zMdBlvznTYm5sb+fDhg/z+++8SjUalWCzqHKVMJqNMtt/va20cpS2fK+BexOxGtgPneMEETk9P5c2bN/Ljjz+q6wsDg3XZA2HrYp8LdEnyAbo//vijZva5bafTqcaBSWIRi2YjsyE4EMuArg2DWMYD47VjWwBdyyTdDLtNrM0bNbMq02Utbt0v7DGZTOqgUUIFFrjYC7zYwzA3SptskmXRtc4LhdjDO2+tND0wpy+bzXoqKgh5uJfIqpeZDS8Btni65GqCwaDmG6hEefHihZyensrp6akHcDudjpTLZQ2HwXTxhhKJhCcBuKxZ0D07O5O3b996QmOAbjablf39fTk9PZW9vT3NqVC+yZBVxjlBbMCZp8aeVwJdALfVakm9Xn/wwgXe2dnRgYlklHu9ntaeAgTETN1Y7Cpmi53t3KNkMimFQkEODw/l1atX2m1iY3zPYZZB2Aw2zJJNnE6npVgsyosXLySTyej72NnZkfF4rDFGAI31k4TpdrsSi8UeJDMXXeeXGl4ee18cTli2vRAt+Phh1l234QG7p9gLkUhEqybsReGGRohL2vI2PzwzlyDMK8h315pMJvVs7e3tST6f91wY1OT6VcyPuZ+pW3EBgQqHw5JIJDT/gMt+enoqiURCh5riXbI+m+yCRS+TxHYbjobDoXQ6Ha2yoFPOhqC4JPBmCoWCTrWu1+vy/v17SaVSyua50KnEWiQsujTo2ho9MoCtVksnaxaLRcnlcp4WxlwuJ41GQwaDgbrDo9HIw0pgY/a1aiG/rZyAlVE1QDabWkcA4TlAd171Ai2oeAEi8uDCsBeDPVjuwEL7DC3bW6YiwK1eGAwGynD4Hlg15T7NZtMDYhxEmCKM3a7zOTwIkkDdbld/X7fb9bjoeGe8tre3PZeMX9UsLtN1k13z1spFyjRj8hL2RZLNTST6uVZ3vVwQ9rNOpVKaQHObY+zPgXhxsVE29lSXHZvXcER7OsMuqXfn8+b3RiIR7ey0HXMk+O7v7z05gmAwqE00eHdPec5L73C3G+Xq6kq63a6OUCb2ZUE3nU7LYDCQ6XQq3W5Xrq+vtb4TYLAZTxFZOFY2r5AfgOCBw9gs2FlXYV11ufPWasGfrC41jsRgbabdgpPLiNzYoE0ezvt3i6xz3kU2HA71IiNp12g09M+ULhFaiMfjynxIspKIsh1s6zYLZCIfQcyWB4XDYYnH45LP5z3F8jA7P8sH7Wc3j+nOW6sdH18ulyWTyegZw13mMlum7G7ZtUKYbDkj4S47mt3dq7B44r14HcuArsjDhiM6Yu2EYUDX5kao6qFFnBp0CCJYZbsrp9PpwiE7X5guLYAwAFyy/f19D+gmEgltAQR00Qngoe/s7GhRNeVHi5pbyG9HhHNobFNCt9tVRk086TnMZbq9Xk8Bze3cs4khMuWuC2mbDmx81QqJLMt63GfKGgFd4sckWGFm/E4+yxcvXijgioj++1AopOtctwFkIp9AjKoLDlU8Htcky+7urufC9nOU+efYYzAYnLtW6kxh5el0Wnq9nraJE6IjtOZXuMyulc/MJuY4P1T6wHQ51y7o2n1tQzirgO68hiOYrm3QYr8R1gR0LdMFG+zzxsu0lwyhibWD7rxuFFtuFYvF5PDw0AO6u7u7cnZ2JtPpVDqdjlxdXUmv1/PQfLp82OzLxHO+5AqLiKeOtdPp6IGLRqMPxGXWZe4GoXmDcIgbXrCg625ElxE/BrqLlLbYdVrvgWfqXmT8fbfbfZC0CQQCEo1GtbtKRBRgqXqgnPA5jIsYxuImSWl84FDabko/AXce6LoX47y18llSw01uJJFISLFYVA9xa2vLl/3selOPMd15oDuP6br71TJdN7ywiM0L2VntFxJz7DnWGY/HPUzXBd1ms6kNKvZCY3/MEyJ6zJ78jlyFrlarJa1WS2tDiYtS6sEtbcvJtre3PV1qNm7Jh0XPMzGpZcweIrdciNBCv9+XRqOhTRk2pjoYDCSVSnnKxZYtCfqSuYInn4sb2gSj+zNcJhqJRFRw5LFD8lTj8FIvSqOILRnCjbVtvqyJr8TAcI2JodOZlk6nV36e1luJx+MyGo0kn897PAjA3iZcXMU0t2CfdmzIwLw24WXMMj7iggBBoVCQXq+n74vvd+ujLcjAytjrMDo/zF4QIuLZT/b9QA5sFYjLWG2jhdsJuMo5A3SJx4JN5Epsktq+8CJguiKi2jF4ZpaYwW7BK98TaW5N7nA4lFqtJs1mU9lZv99XVoXbSW97IBCQ8XgswWBQLi8vpV6vqzvEgUNXddWCc1uHSdE4DyUYDGorIq2gk8lEAbhQKOhFQi0sMaZlYkvPaW645P7+XuLxuG6gVZoObKlZKpXSzWuZD5+XddHZyLTgUmozGo2kVqspcMHQCoXCys/BrpWECQeN8qtcLue52IhB0y7e6/U8sdRGo6GsC3fST9C15UaxWEwymYzs7e3JixcvPNU3fHbUxSJJaP+ekJ91f/2uf7ftvXZPuReIm3Ri39nnzoVtKyEIOS2TsARA8biazaaqntnSNlefo9/va4is0+nIdDqVcrks7XZbw2YkCWmiODw8lEKh4AlNPMWeBLpWVwG6Xq/XpdlsavJnMBhINBr1dKkMBgOtUGi32zKbzeTi4kLq9boMBgNP1wm3ez6fX6ng3HVZJpPJo6A7mUxU7YgPB+GYfr8v+XxeNQtisZhvCQm/zQ1TtNttvSgBh3mZ8aeaLXhPp9Me8RyYDZ16fHbRaFSrGRBg7/f7sr29LePxWJrNpvR6Pdne3tYiesIOq5gFXVievYhxv+3hm06nymbpkiQX0O/3pV6v6zOIx+OqZeHHWgEq1sgzpmTJAhsvSjXZp7TM2nZXgC8Wi81VTFt2vazTBVyMNT5W8w6Y2vi4lbK0pYjLhHIA3eFwqBemTaThJQDwhMxExCPEc39/72kVns1mD+p5j46OtF6bffYUWwh06e+nWNiC7u3trUSjUb19YbrD4VBarZa2+pVKJanVatLv99X9AXRhuqsUnIuIB3RJ7AHggBEMl4fcaDQUGGBnMPF4PP5scd4v2WM1sTZGjXQh4GDDC4uGFkTEw5g44G6c+fb2VhXDeBHzr9VqevjY5N1uV0ajkYTDYXWj/QBdwBHAjcfjnhrXTCajF659lctlZeEQi9FopGEzSiFzuZyydj/MxghtO+re3p6Mx2ONM9oXDK7ZbEooFJLhcKjnq9freUIV6XTat7XyuYuI59K1+4nwjtsNyN6zLNeGK90W82Xj5y7TxXPt9/vaF2BDCtZjsL9/NBppCPX29laTlHgigC57fi1Ml7iclcpza0mt+0A81xZSI3LTbrf1/9nMNjV6q5hlunxgdmwNiT5ijXwQ/Fv7YbAuqz7G930tm/e7rRYsm21ra0sPG8xj2ZpNDhJuqtUl4HIbDAYPpBzpLhIRT+cScd1OpyPpdFpdOL/AgWQYsUwLQslkUtmhfQWDQe2ICoVCnouMuGqn09GEjN/sEaMzk/NB15590WHIGYO1Q4xERGKx2AN259d6+eom0eaVLrLXrDvPi7+zYQQ3lLLMWbPgaRO95CYgYBagZ7OZp8zMCvmQjyCnkUqltDPQlhn6ynSty2aFiW2hca1W8xTC40oA1lB+Dp67af2sfbRxMhGRVCqlmp2hUEhyuZxHJQv2xmHt9XpSKpW084cOGeviLeOm+2k2CWDdM5ikjeWSGSbMsowHwUUGkPG5A8aj0cjTWBCNRrWukbCOjdc9p9kYP96VbWO9u7vzNGZAGmwCkfdFbHddoSaeJ91PMCh+H3kIvEeIA+68FUD3u5HDTT651TU2hGBJAG48VUToWVNJYMu3rJ4EGgyLJn1JyqLRa0sXA4GAJ7lH6NPilN0Xdp/bOW6rNBw9CXRx2WzDAvQfQM5kMiIi+saCwaCHSbjCGOs6eNb15b8B3WAwKPF4XI6Ojh70j9uSLeK6hDsAXdtWuuwt7Iex4d2EgB2VZAWkLeguUxVivQeRT/Fht0eeEAIvYraAro2j+gkGXzLWyiSK7e1tZTT2vVgXmEvLxkbX0XDgGskaG9pybTgcavssoBsOhz3ny+/yNpGH+856f/ZisM1HgOtgMFCQw2WnmwsWaUV90MJYNK8TDH5qmweAre4GsVlbVYOXZcMdNt7M+uzLKtMt2nC0ENMV+XQTA26AcSaT8dBzgtNkKGFgVn91XkmUH2aLtUMhr6zk3t6eZjKtyDWTTHEn+/2+FItFLW8bDoeqG8DBfG6zvxdgYIPPY7o2UQlLW4bp2kSU7YyLRqOeg27dy0Dgo/IZG9Ity3rO58c+tYyFsTe2vpSDyTPl39pLa91MF9Clqgc2aMGu2+3qOmwyiPFBqyajHjPrWVlQ5xnCSgEuLjUsEAhoCSlnkD06T/VtFdCF0SJkxdmB7KHnS7WCDUPwvtwwiQu8tknJd6YL6NqGBTYvBc3ZbFZrdpvNpj5QGwu2SbZ5TNevzcFD4Odtb29r1tq6PvaC+J//+R8ZDAZyfX0t3W5XKpWKHBwcSLvdVtClpve52lVds4Bv2YaNlfF+LNPlc4KpLxMasYxwXn2lq0A2nU4VpCzThUE+J+i6a4dF2iQWFwqgwbO2qmlWsHxdXg7gTxJ4Xnyy2WwqawfcLNOdJ5zkh7nrsaDrdr1xxkS8g2JJrFuVQd6vBV1bY7+IAboALp+tyKfLlD1IzLvVankGkRLyAOO4tF3QJdS26F548jty3WmywTAcV2+W7LU7iZeYD5NV12m2oJybywLXPKm6eX+2FwaA61eXj1WQsiNCXBfWsgyrKTEYDHS0D1OOec8kXmy/+DKJNPd5WhfcAj/JB75eXl5KqVTSqdDUOwJc6BqvQxjeXghu0gyVOzvKqVKpeNboJk6YVhuPx5fqlHqquRl8Si/ts726upJqtepJQOLRIAHJeCSmRvhh1pOxDFfEW4JFlydJSUsKSKaTvLIay7BHK9azbImjiOglYMvw7u7uPKyc/UFFCmfeaiqQfGcSB0MClsWvpT8NG/wW+RQ7pFODB0/tK610lN+QmMLWCcCwbRtSYJotr2azqfXG3ISERmCQd3d3egP7xR5goog+2xEwtjzHHkbqX/EqGJFETaFNClppw2U38TxznyluIzW57XZbbm5uVKWfhhjcRg7a0dGRNsQs0tXzOXPjxsQW6cWn3rzT6ejX6+trqVQq2hhh49Uc2Gw2q0C2bLfkl4xL1U4x5nnybK+vr+X8/FxqtZqCF95cPp+Xo6Mj2d/fl2w2qyNm/LB5zREinwiB25TAlBIIC18pJRWRB/rFLjnwY69aASNb0mZ/F3FmKlXu7+/182fCzP7+vuRyuZWf6UqgC223gGs3jAUGOpa4uTudzrMlotyOOiuEwVeKqG2roFtAzcRQv+JkNjtOyRw1f27w361SaLVaKqnJq9PpyGg08rBcC762rGdVc59pr9eTarUq1WpVKpWKNhrw3/V6Xfr9vlYCZDIZVerP5XJaT+uH2edFWRUXP3Wb7qtareoaYY60pafTaQ97XOe4JkCXenFCXcz34oV30+/31YWOxWKSzWbl8PBQisWiDi31m+m6jTbWa6RWnAkQIuKZEEzYkfNj8w22rtfPvcqFJPJp2rCtOiB+3mg0RESU6TLxplAo6PQLnulXA13cLDq/3Bfi5ohrb21t6QFtNBoP3Od1GazMdvLAcnjBdKl7ZE22+mI8HsvOzo5viSAXdD/HdK0rD9O1M5/oEydsM4/l2vDAquY+Uy4BZD5p94adtVotubu7k3Q6rZM7jo+PdeYbI4b8MDfGDOgyctt2IPIVJukyXUa0PDfTxVOs1+tyc3MjV1dXcnFxIdfX19JqtWQwGCgw430hzE+nFG6x30xX5FPck4YjGwrpdDr6jGazmWcSMxoGtnNxHtP1c6/SSbazs6MlafZs2GonGmJgutTk4j34cZEt/S9tu99jZoVvEJmx0w3cGM66MsJsZCtI3Ol0PC9UhIj5PNZJ42diwgXdyWSiB8UmoQA4GAQq+OVyWSebMomDsjhKnObFh1cx3jutsjw75uNdXl7Khw8f5OLiQi8x2DDxZeKOx8fHupH9Al03wQgQILpUKpWkXC5Lo9FQ0KVVHbIAKHBAEV6fJ1Pot+GiA7jlclnDCRcXF3J+fu5RtCI2zuWQz+elWCxKOp32aFT7ZRYMrc4C54VwDp4sJAHQnU6nkk6nldkyicPVSPHTICAw73g87qlcgoX3+31PDJywH22/+Xxe98BXAd2nmL35Go2GNBoNrXdNpVJyeHjo2+3xpXUAELhmLtNFJIbRQrPZTIrForqVdmMsI8QzzyzoEhtnUgETAFAKq9fr8u7dO3WXcTN7vZ7MZp80jHO5nMxmMzk9PZXDw0PJZDK+qEzZXnnKluw461KppKEE26/OpYooyPHxsRwcHOikWpvw8QvI3IoZ9h8ypDc3N54kGnvSCpknk0l59eqVHB0dafjDVi/4eYnZF14MXsPNzY0+U+K3sEO6LDOZjLx8+VKOj48lm82q+7xKK/1TDAaZy+Xk6OhIm2FInqG3Qo4EEsHlwGsd3s6XzM2TuHXNXCpUVRD6c+t+l7G1gi6uHeGEer2ujIfa2XUE/F0DdIndwQxtVQWtnQDX9va2jhyyI9r9ZI4WdEVEn0s6nVaGBTsg3tRsNvX9kBSaTqeeTrBoNCpHR0dyeHiorGJVc3vlAd3Ly0s5OzuTq6sr9RroOCIERWVLIpHQixbQhTn4lWXnkJPc49JvNpvqGVxdXT1o+aR1mTFCuOkAArHcZTWJP7deW4NrQRd2y3NFCYtMOrO89vb29CLL5XIPLod1gS4CQrjfXHTo/6IBwnlhH5CYRGe7UCioqt9zg66tc7efg63p/lzobxlbO9O1aj+oNcF0U6mUh+muE3TZzBZ0LdthXYikMFoGposYs42V+mHExPndLuh2u10F3VarNbfig42Rz+cll8tpXzhMclXQtayAigW8hvPzc/mf//kfef/+vaeaYTQaafKU9wQjOjg4kL294WtCDAAAIABJREFUPSkUCppAW5U9WLNMFw/HMl2mnNg4OZfq3t6enJycaIKPZ8qF62dWXeRhw8Ht7a2C7ocPH+T9+/daOWMTPPl8Xk5OTpThptNpPVNcDutuV9/e3tYL4OjoSO7v73UqNdq+NHsAVjDzYrGo484JLz0X03Xr3O0+oBT0MabrRwjkWcILJDEajYbnDcRiMdnb21Omu67wgh3kx8GjhIhRHgiNAHxMBc3lcrqhaY4Q8SfAb4vK6XZzwwu2XIiXrR8EtFDAOjk58WzkRCLhK9MFVC3Tffv2rbx9+/aBLgXuejqdVjbGNJG9vT0pFovqcvqVqXaZLuVhzWZTwyHX19f67O16E4mE7O/vy6tXr+Tly5f6/HjO62j/dg8/zQMkSc/OzhQASGRFo1HJ5XJyenoqf/jDH+T169ceKUXEV9ZdHUTYKJfLeeLMvV5PBx1wUQG6VqCdCcGALe/hOexz4QXbVGWZrh8DFkTWDLruLU580raVuoXQ61qHbYSw4MGf+bApIbFi3MuIWixi9oCQnLBfqaIg2I8YOJUUrPsxxX4/1m3jjpb12kYN6wVwgfI8XVDgua7jorXrnKdNMRqN9Pe6mXKqFtxnuO79yVdXXJt4M9UCXBAWEGy34TrX6RqXAJ+tDb3ZfWITz27DjhU6X2f8+XM2Lzlu94TbDrzqGr+6Krd9s8/ZGvot29fQ9v1a4j4b29i/mgU+B3SBQOCfDgVns9nc079Z6/L2raxTZLPWddm3stZvZZ0in1nrhl1ubGMb29jz2VcPL2xsYxvb2P8l24Duxja2sY09o21Ad2Mb29jGntE2oLuxjW1sY89oG9Dd2MY2trFntM9Wpn9TZRibtS5t38o6RTZrXZd9K2v9VtYp8vhav9gOtEpJ2dnZmfztb3+TX375RX755Re5ublRkQteuVxOstmsCo0gNjzPvlSg/9haS6WSvH//Xl/n5+dyc3PjedGqSHtyMpl8sFYERtA1SKVSK6/VnUL6j3/8Q/7617/Kzz//LD///LNcXV3Jmzdv5KeffpKffvpJ3rx5I7lcTpLJpKRSKR0fsqwt+0znmfteLi4u5N27d/+fvTNtbuNKsnYCIAku2HduWiy52912uP//X5iZ6Blr2mq3WytJkCD2fSWB94PiSWVdQhIJFCDrHWREBWWLFC+qbp2by8mT2iZcKpU8k1TD4bAcHR3JkydP9Mrn876v1SqOjUYjqdfr8uLFC3nx4oX88ssv8ssvv6jCHJ1V8Xhcnj9/Ls+fP5dnz57J8+fPJZlMyv7+vqp7fa69etG1usJCzWZT/v73v3v2BLrOrDWVSslf//pX+fHHH/WKRCKe7sDPdan5tQdubm5UTZDr4uLC8+5dX197xvOEw2E5PT3Ve/zs2TM5OTm5s0/u09Z833VOp1PVIkY46vXr1/KPf/xDXr58KS9fvpRisejBpVQqJaenp569WigU5nZhinz+nq6kDZgP7/Y2uyNzEPKwkzhXZW47Hy2IKNcz580OUbR6m2jCokbmd1eYK/Fn1aeY62U1P207IqLrfE4R8bQt2tbQVXWWzWu7tbOxAORQKCSTyUSfxarGhbtrc+UeWZd9juwRq6FshXPQEQiHwyvrCnRbge29s9N97WXnqbFeOzRxlffV7lNXn3YwGKhOscjHUesWnFzJ0HmfbxXrBpvsVBh+F+JXtp3ZnZ1opy2jSnZf8xV03ZuHeDHi4a1Wa65gBEpbn/MclzHbH47E4M3NjY7XjsfjHhFrBNeZ6YaA+Hg8lmAwqCPnlzVXI8D+fl4y9GDL5bKOO8K7PTg4UFlEKzbDGhFqQZLO/R4/jZfOClZXKhWpVqtSq9VU8AhtCLQN0LN1AdBP4/khHsQYoU6no0ItgC1TGLa3t9Ur3traktFoJLlcTnK5nNze3upe8tvQ2OAe1mo1aTabKsxkDy8GpCIUboXPUXljn6xCdB1ngKvf73tGClUqFWk0GtJut2U2m2kUa4GU6SP230GM384j9FtkiJl+7EtGH4l8HGTJ4drr9WQymcj+/r4kEglJpVLS6XQkHo9rtGGHXX7JfAddGxrxIJj1hEIWL/zt7a2KR8fjcY/H5qdZ2UZSCCKi41iy2axHC5YpqyKi002bzabMZjPZ3d1VcXE/zFU7suOzecFarZYKQ7fbbQ1tmSKMYIgNcxCKRkKRe2CFaPw0QJcxMyi6AbyEm7u7u/pi7e3tSSqVkn6/r7KFqzBAl7lipVJJqtWqtNttFVsnfCUCCoVCCrrD4VBqtZpH6D6RSKxkrVaZj8PWjpLCy2J/4BRY0I1Go+qRiYhnXLjfa8WpYgbd9fW1zu67vr7WmYMioipdVnPXDq20/4+JFKvYEwwCaLfbOvGkUqlIv98XEdEJ0LyXDKvE2Wq1WnoIcmAjSrRW0J2nucocJ/tQOHEZbIhKP6f4KsyCLgM0d3d3FdQmk4lUq1W5vLyU0Wikm9wCLmFRMpmUo6MjHXW+rNkQ0Y4Jt2pozWZTvW88XguyVg0Nj/7w8FAePXoks9lMJ1NYVXy/vQeeJ/PSarWaTukAcBuNhuzt7Wl6aTKZ3AGTVZgddVQqlaRYLEq5XFbQnU6nHlU3lNAAgnq9rt7R9va2JBIJOTw8XMla7Uw3NKjxdBm3jqfLmq10aa1Wk93dXX3W4XD4s3WSZcyOQuJAQzqTryKio6Oi0aiEQiHpdDo61sfNt3MR1a0SdHEMLi4upN1uq6NFuhHsAsfQMW61WtLpdKTf73sUE+9rK/F07VhuFszJLSIevdNIJCLZbHYtoIvurM0pctP29/dlPB5Lo9HQcTTcVK7d3V0pFAoKyH7YvPSCFVVmY/Z6PY/urM3RkiuzM+eePn2qw/UoBPD9qwg1bXqBeWTz0gvcZzyxXq+nufJVerpMLwF0ATPr6VrA3draUmcBb+729lYLrKPRaCVrdYX/GThqh6a6kRGeLuk7cvjo1/oVlbkG2DebTQXc8/NzHaJZLBZlf39fcrmcioETZaLJPA902R+ryvVzgBJJXF5eynA41HcL8X3uW6/Xk2q1qhODGWDKdJSdnZ0H1aSWAl2rA0qowfibbrcrV1dXOo/MFs1sUWCeeLDfRvGDgXQ2Qc7lVkdtsY0XMZPJ6KwvP4DLFuzQpO33+wpCboHMjj6x47B58K6uKR4tLyc5QD/uszt5wc7CYzoHgMHQTD4P+VNXr9Yvz9sWZMjJIWRerValWq3KYDCQYDAoBwcH+jUWi3kE6+v1unowjJnye1SPLZZNJhONEDisGo2GemC7u7uSSCTUSWAiA/n7cDgsk8lEI4poNCqJRELfPbtv/Jx8gbNlo6pMJiOz2cwz0SSbzWqkQ2HS1his5rLVBva7+GsLqxxY0+nUcz9FPrxzk8lEnUVbqCQKImJ+SJS2MOi6VXZCRTZLtVqV8/NzKZfLWrDgBtob7ar3r8LIG/PS7+zsKMhxAXTkaLa3t5WSFYvFJBqNKk2ECRPLmmUm2AOLcBtwBEi5bLHHTTGQdoB+xxQBNoZfoOuyUXq9ngJuuVz2DFQkinFHItlhf8uq8WPzUjXdbldarZYHdG1hdWtrSycacIXDYbm+vpb9/X2tQ1DA9GsaMB4X9CWbdy6Xy1KtVqXVaslkMtEpytQV2JPMmOPZkven6NPr9WQwGKizwSHtV7TjTgVm9mE8Hpd8Pi+7u7sSjUb1PQqFQjpCib2MU4R4PMVhP0c4ueamQ4mCiQq3t7eVDNBqtTxrIZWGV86Bc19b2tPlYQO6tVpNisWiXpVKRdrttrrq9sHbiQyrHC+CVyUi+tLbPCmgiwcOfSwajSonN5vNyuPHjyWfz2vVclmbB7qsh2o+3q31aPAQAWNAwU7gYFwP6yQctYflMvebjce9A9Tq9bqUy2UplUpSq9W0KHlzc3Nn5LxlVvg5etvSw8gzsz68x0QioVzneDyunMx0Oq2DSQFckQ9eDnPy/AJdW9Ah503+m3RMq9WS8XgsoVBIpyYfHBx4+O17e3vSbDY91+7urmc/2WkZfqWYXBomoBuJRBTUiBYBVVJ33EfAmr08D3RXgQu2lgLlizFIh4eHsre3p4BbLpc9zATrcCySBlnK07UpAjZ3tVqVYrEob9688bx45EDdsJhrlZMJoKRZ8AJwCY37/b6HtrSzs6P55tPTU3n06JFOXPXb0yXvzcRXPJPb21sFKrwbOz2XcMiSx7kY9omna3mFfnq6THu2niSg22g0lL1ClGFBlxfUj2F/GC+SrSlQxGV9sCgymYykUik5Pj6WbDarAz3T6bSHlM/nXCXowqpgACkXeUP2QCgUklQqpVOAyZeen5/L7e2tNJtNze2SewR0OWhJry37ztn6AqBrawvQFO33DYdDaTQaymQgarOceUbI+xX9uDaPqhkKhSQSiUgqlZKjoyOJRqMKuDgvlsPPoU5q6CH1iAeDru2kIifCdFiG/11eXsr5+blUq1VNOFvQtQUsPLNVphcoKmA7OzvSbrf1Rbc5Zr7fhpz5fF5OT091uq6fU0ttwWxeAwapDkIvwvL9/X39Sg7KbnC+j/DZj3XaC94r9DDCYjw1m8vFG7DFKjw2Dg0/PV1b0IXzSl632WxKu92WXC6nuVFLreOrpTbx80zaDYVC+szs3n3o+snpci/xwrmn3D8OJrols9msFAoFyefzUigUJBwOy2g0kmazKVtbW7o2m3scDoci8nFv+2E8TwCSPWkvCqx2JqH1aunuszlqwHhVOV17ULB+9iNDaXFwuPcuB/dTwyzvY/e+++5L5xbNGo2GvH37VorFouaiKArZSaGAArnHVQPuPLMvP16XHUQIXWXe6e23Z249fzbal/590h9sdMbX24upy+RNlwnZeN72arVa6o0RFlM4u7291QIDwGK9KzfS8XMPWC/GZYNYb8RW/+3BQAoGtko0GlUuMQfYcDiUarWq49Dt9dDPMA8A8Ppub2+VokaBD3I+U6p59pFIRBKJhGQyGWm32xKLxWRvb08CgYB606SrHsIp/ZxRK4lGo55CFNf29rYMBgNPcxT7hmYJnJlsNqsFzFXjAqmERCIhhUJBBoOBFh159/v9vmdfcO9s/to6CyvpSHMbH8jfUpioVCpSLBbl8vJSKpXKnaq1ZQjYF20dnu48sxucU5Zeb26kywiw04v9BF23wPElz4kHb5s97Ga3l51su2jIBui6ffU2Bwn9inw0oGE9Trv+VaaX3JZkC6b2e2yYSH6OgyIQCGjBj2YYvESaJQaDgRaIRGShe2vzojgiRAKkSgBaUiC2wLu/v6+hMaDb7/c1VBcRpaDZnLofKSZqJfBv4dfaou7t7a30ej2pVCpyfX2tnOfpdKoOAaDLQbFqTHBBFyeBWg2ga6NOfs6CrnVyfAfdeY0PMBUomF1eXir4VioVabVaHtI7lCUWzyZbRyHNNevpkuO1ni6ATL7Jgq6f9Cab63ILYZ+7H5Z3bFMO9nI3hfWiF/V06/W6XF5e6sEK/7ZSqUi32/X8+xRNKLbZhoxVP39LY5rn6dq/d6vQhItwn+G5BoNBbRWHcRAKhTRttkgTgpsTtS80hV8RkXg8rqmPQqGgkYulN+GpkcoDWPB0O52O5oX94sPz79FOT7HUphBhj1SrVTk7O9OOOctoIJeOp8v+XBUmBAIBBV26Yolstre39RmDX/YgtukUGzk+5IB4sKdLbsYtmp2fn2vowFdLe7IfmBOXxa66kOaavXnW07VpBLqPbGUV8PLzBLYvnQX0z/3789qa4/G4h/IET5ffYf/Nh67dBV2KpPBJy+Wy5jzxwuiA4z6GQiGNduZ59n62JVuGhqXK2SIiToTd0xRSXU9X5AOoEh6Tg7UURELsh5q9H0RXHAr8HR5soVCQk5MT2d/fV4cA7jWeLk0mUPQAXTi0FJH98HTZrxywLnebq9vtaufX9fW1nJ6eSiQSkVgsJqenp5JMJpVNQnphlcaBlEwmZWtrSw4ODvSeWO0V0gs8V5cX72LCfe3enq5L4qdAxolADhRxjf39fXXP8Y7ZyLYoBNj5WUj5kkHDojgxnU6l2+1KIpGQZrMp8XhcXzxER87Pz6Xf70symdQN7Xppi+TzbDUfMRvAKxqNSrfb1VwhAji9Xk+9butBwnBwvVk/qtRQqGKxmKTTaQ8daH9/X/NiNo9MHhFPazKZ6D2zIZqfB5m7Vy0FT+RjUdVWy61wkF2LC4guZchVnFrE7IEbDof1kMDjch0EIjJ7cImIpxgUjUY1rUdR7ebmRr12vxX9uE+wRiz/3Ua9tFvv7OxoMwqAawtW6zLb3GXpjzBeGo2G3NzcyN7enood0ehBkc1yzH31dD/FJwVs2cic+BhtlIjJWHUmW+jxkzJ0HwNE9vb2dCNA2bJrFRHpdDpyeXkpvV5PwztSJS4/dpF8nrsOq+GZTqdlMBjooQS9jeo5TQndbldB8ODgQFKp1J2c2DKAFgx+UC1LpVL62dPptBZSaehgnUQM1WpV+dvb29syHA49gOumbPyijLl7laLIbDbTkJhKOxxdlw42ryDHn/0CLAvq3LfRaCTb29symUz0mc1LP7kHvmWFkHKwJH4RuZOjXNbmNUjRbk2RleIqDR42GuKy4LUuDLCURwrD7XZb2S3QN29vbz0Fv8PDQ8lms9p8BPvmvgpjIkuCrn2A9iTm4dPbTO6LFxPQdW/4qrpPXLNgx4FBlwwhJJ45Hn2pVJJ2u62gQx/5MoTzeeugIyadTksymVSFI5EPG6Xf73s8CsQ3qGCnUimZTCae/PmyHiSgSzgWiUQ8UQ4vs/1cIh8KLbyE3BvXc/M7T85ehT/My0OqKxQKqXduva153WafYkH42bLOIWQPK5saELnbhOB63vPSZewRoiPylH57uvMapOr1uqqNNZtNvf88bwu4YMAiBall12wphVYVjy5ansvBwYFSRwuFggd0bbR2X3sQ6Lokfh4mFCZ616G31Go1CYVCynYgbCKsJ/fnd0fSlwywA+hIhVh5RyvUgzfZ6/UUcDOZzNKE83nraLVaHrX6brd7R/idjQKHt9lsKuAWCgVta7S/xw9PF8DNZDLaYmtFV1yR+pubD5MEaNIQ+ci8sPlyqyfhhwG6hIlWOpL9R6oE0LWeLvvQenGfyg0va/M8/9FopIeQ3V9u3l/Ee8Dx2XgOeGpWPtFPNbcvNUidnZ1pPnk2m+lntCk0uM/2UFm1We0F3qVmsynlclmJAc1mUxtlkEktFAoe0I3FYp51+15Is21zVHktWNhOmUwmI5lMRnZ3d/UDhcNh6fV6HvlBqyWw7mKamw7g5aOLBx1Qwo7r62vVNMhms9JoNLQF0+o1PPQzuOtIJBL6kBuNxp3efKILm0vsdrsa+nQ6HRkMBp7Td9nDjFz857rwaJiwI1Cazaamj6ynC8Da/KlfB64LlLZAxu9xUwyfi7jc7iWXb27v0UON9dgokcMiEAjc0ZCwv9v9na43TA0AQRcO62U8XSsixP21uW0AF+2Ni4sLERFlWdCFCGDR7OFHS701m6t1DwY8/3k8c5g4pVJJer2eRKNRTYkcHx9LPp/X9mvobYvYvUAXT/bg4MAjjGw7OCaTiWduVywWk06n48mRWYUeO2FgEdEIv42230wmo22Btu+e3vXxeCz1el2KxaIEAgEPY8DSfBY15nORO97b2/M0ofAVuUHCfCrqdAXys2iDrit18yX7UlPCsmZTNnQUUvili9CCp01zuB63e0DYi/u5TBHQrhUmBHRMgGEwGEgikZB0Oq11FMCVi3fLbXnGYeh2u+rVuep19zUKovaiUYbDttPpyPX1tU7mGAwGWvjjM6TTacnn85JIJJTS5qcRlduLqNVGrI1GwwO65HJp2tjb21PnkbmIpBSWVRm8F+haj1ZENM8Rj8f1ZEa71RLzkZjD47JCJBZ0bQPF17Lt7W0d40PeLxAI3JmRdXPzYVjgxcWFjMdjOTo6EhFR2syy4IZoyM3Nja6JYiQvEd1fUFsAXSutOJvNNPzx25NYxr7UlLCsuaA7Go00r8w+BHQsL3ZebtmlN7rTOSwoLwO6VowJ3WRAt9VqSTqd1pTecDj0rIMUhAXdRqOhoMshbbWZF0mPQP9zJ6y4wGWHFiD8DT2rUCjI4eGhpiBJK/htHOhcCB3RyFWv1z35fpg1pF1IM8FYsINoLctlUXuQpysiSh3ixLS0GZtzokvGFibsywZQWE/3a4Iuni7rjkQiWnwg0S7yQbiZaiwzlfBO/Vg/o2AA3EwmoxubTY5ocrfb9cgDWlEXwMAell/b7tOUsKy5oEuKCBEVkY+eruU7fwp03UYO28Qg8jE9tChlkDUBvo1GQ0KhD8M7EYO3wtl0fZHrJYR2QZf9AvjhqS4Kulacx85Aw6tFxtNKBQBiCOkfHx/LycmJxzFbladrR4XBEb64uJDz83O5vr5WehhOI7Uaq0MM6AK8CN8sKzn5INAFcC1VxKWN2GID1WB6vV0Rkj+ap8uNn06nOqzSipFAPbKnJ4WBfD7vG+gCuFB+yDnxdTab6RBAEZnr6ZI3Pzg48K1w4od9qSlhWXNpeIFAQOr1uhZrRcTT1jkPdPG+5jVyWC8T4F42vQCAz2YfRL+DwaCOabLDHUklEYWxns95uoC1yHKUMUCXKr+Vb+VCvY2UAtEfoHt0dCSPHz/2RAh+e7oWdPFiK5WKnJ2dyb///W/597//LRcXF3fE4wFZuM42rcBlp3Avc1jc20f+0i9ycylun7tbiLP5XTbCqnK6bqeMezjYP/PyIyht51ONRiMPZQgq3DLk+E+tlWq5lU60c8fI9yG8Pq/ba1W9659a97wCi6s16j5/PF0/c7rk43kmeDCWxE6lvV6vy9XVlfT7fU0zENVZjnmr1dL1Qie0Xs+i99l9r2zjBg0D0+lU2u22lEolZV1YUfvZbHZnNpmVKuUgt07QooeEbRoR+bhfeZf5d3lHcFpwBhDosbombjPKsmbTRrbxytaVYHiwF+1osYODA3ViSJ2g6OcevPbwuO/afW3/sN6ulUuc1/NuP7yfhZR5ZjUjbIecq4nJusiVnp+fy+XlpZTLZVXw56VeFb3N0p3o5Lq6upKrqysplUr6tVQqSbPZVOI7NCyq8q54zzrsU6kDPCvbmmsPXEvHWtYs6BKCW10NGCbD4VCazaZcXV0pkFkdjmAweEfUh+YKLrf33g+zyl2omwWDQel0OnJxcSHD4dDTsg6jxIb55XJZREQ/L6I0VpVskVSI24BhNUu4v7AmoOgxITgajUo4HJbxeOzpWoQhYFk8y9xLcvDhcFgZVlZpz0Y84JHIxyGb3W5Xi6NEPyKiAj2uJ2/3w1cFXbeLh78T+Vi9nvdirgp0rfAKgEYhj6Ke5TISmgBueJbT6VQfqF96uq4BujAWGo2G6hNfXFzI2dmZJ2dnDwKrU4pn99C+8GXMPVA55Ow+sIfyqp4/nFVeQEBqHuiWSiUJBALaigoQhEIhBTDADC46DJ1V6HGgZQDzgsIaNEbWgTcM6HJAcEgg6IIQD+pkTMNYFHTtwe6Crs2Z8x7RlUYr+2g0knQ6rVxv0iP87LL30IIudLxoNKqt3jY6QKBHxPvegWO2zX46nUoikfC0uk+nU30W/N77rN930CXc+JS6Ey6+TS8s27/+JbNE6G63O/ey/eLkm+0U22azqWpKIstvjs+tldwcIdnl5aWcnZ3Ju3fv5O3bt0op4h7izdr+ezv0cV1dPgDqp0aZ2HZRN/LwO71AvnY6nd7xdEVEQRcApqGHBp+dnR1VVLu6upJisSixWEwKhYJsbW15upH89nTR0AB0yU2yL2HXcAWDQU2DcFgz5w1OKaBrp4k81D4FurTCUuDleVJ05mCAy3tycqKF90gk4smhL8v+seBnvXw8XaJAu1fhRKMPYVMltnut2+1KMpn0zFK0Bdn7NketzNN1dUzn5Xj9bqn8lJFzgiZi+6u58CQo7kF9gVYyHo+VieFKQvrZwkyY0263pVarqbdNrg6qmgUWG65x2XEo6/J0Re62zlpCv83drfL583l5JjwrphQcHBwo2LoNKBSrtre3lXPKkEgKrHS2WbEmv5p78MxjsZhks1kFAiazlMtlmc1mHp2LUCikURv7F+I+OrGZTEbTC8t4ulbZDq8fvV/biMGEXfR0G42GgpctYFLotYVPC8KL3FM3v0r0Yjtm5xVOg8Gggi73joMbBwe6Iek8kY+H0X3NN9B1GQzzPF1uKKeiBa1VggOixNBdGAvvCrZY7wvOLTQRXlYk6BKJhGSzWXn06JHSSfxYP1S0RqMhpVJJLi8vpVaraUsnOTX0K9BE+O677+T4+FhyuZy+XHh36wDdeeEnBSw7WcGKHa1L7IS0QC6Xk9PTU8/fsWfpAuP+w5mdTqdycHAgh4eHkk6ntQ0UEINIv0ie9FNrdZt0EDjiMOb/42nRYgt/fjqdyuHhoc70YwTRsukFt5EDLxHP/OjoSJsPaNzhfaeAhz5DpVLRdANt2FxQNxcVknJtd3dXUqmUnJycyM3NjRwcHHjW2e12PQQApA04nMfjsbRaLd3ftkDHfXmIMPxKC2kuKwDXn4dnQ5N1gC50l1KppDcb0LWsBhHRfA2AKyKqSGVbnaGTIGm5rPHS1+t1KZVKcnFxoQMKrUqbVSPL5XJyfHysSkhs3HUX0izo3tzc3Mn7WbEjdwT7stzHzxnqd7lcTvr9vmxvb3tSSfyZe2/ZH8FgUPWKs9msHB4eSi6X03tvR9P4YW6TDpMMEDdidhvPFIfGNniEw2E5OjqSo6MjKRQKKkloRzstCrq2kSMUCsne3p565TRM2OYJFwOYpyjyMcWTyWQkl8uplgmpMpfdsKgBumiSoGlC40i73fbMkyN1hyPBf9sDxNYImJLy1UDX9XbdEBLKBQLRi0ijPdTYtPAeAV170kEB4wHz0LmpOzs76ulwZTIZDeVX5elCZwJ0t7aekBehAAAgAElEQVS2dJPzYgEEXIlEwlNZXUcLsFvdhqc9z9Nl/PoqpgHPMzzdbDYrt7e3Eg6HlZGAcht0QByGUCikEQ1fc7mcghhtoXaf+OnpEmUdHByoh1utVlXrQ+SjkwN9zR5kx8fHCrr5fF4ymYyHpuVHI4cFXFI0lvHRaDT0PSN1MxqNNLJstVqys7OjoIfHbguEDw3d5xmgu7OzI4lEQo6OjtTZIuK1Thi4YAvr5HhtEZMDFxH0+9rKPF0XdEW86QU7337V6YXJZOLxdOExWv2CQCDgOcE4HMiRUkShq4ax3Vbb1E/QJZ97eXmp95RNGY1GdTT8d999J6enp57BhYlEwnOIrYura+UFReROocXmA12VuXWkF4heaPOcTj9MxCC9YJktIiKnp6d6MBCq0xKK+pTbMrysuU06jAKvVqs6WYFQmH1hc/uIbFvQxdO1PNtFQdc2crgCOOPxWDvVGN1VrValVquJiHiKv/ys7ayEaYEmN/vpvgWqTxmHeiKR8Hjb9rKtzLa5hPU2m00REQ87iEguFos9qI3dd5l2ewrbr9YsEdq2UK4KHFx+sO2G4s9bW1seLwcPggdv9U7JWS6qMvSltXJg8cBFRItPdk32xGVtflfT72vzWmfts7WdW26Xlx9dPp8zfp+9Z64Gqq1S49WQasKDt1KUq0qHuE0CNoyd125MFGk71OxesGkHv9aGuZ9/e3tber2evhs2l2vB2qYfLXWQd9Nv3WLSmnadrigOxT9XblTkI83R8vndmtVD1rneN3OOuayGP7J9zbX+0e+NyF2P+o+y5j/KOtZp39J79X/NAp97IIFA4A/3tGaz2Vx3aLPWxe1bWafIZq2rsm9lrd/KOkU+s9bNKbixjW1sY+uzr55e2NjGNrax/0u2Ad2NbWxjG1ujbUB3Yxvb2MbWaBvQ3djGNraxNdoGdDe2sY1tbI32Wcb0N0XD2Kx1YftW1imyWeuq7FtZ67eyTpFPr/WLbSoPoZTZbo2bmxt59eqVvHjxQl68eCG//PKLvHnz5s7PPH78WP70pz/Jn//8Z/nhhx/k8ePHquiFQIeVeltkrVa7dzQaSb1el5cvX8rLly/l119/lX/84x/S6/V0vMlkMpFwOCzff/+9PHv2TJ49eybPnz9XoRPETmhXnGeLrvU+9vbtW/nnP/8pv/76q/z666/y7t27O/f+yZMn8pe//EV++ukn+fHHH+XJkyd3ptn6vU53DdfX1zoQ8OzsTCqVigqKcJ2ensr3338vP/zwg/zwww9ycnLyyX//vmt113F1dSXv3r3T6+LiQrUX0AjY3t5WlSv0Z3nufD04OPDcv891/S16X4vForx+/VpevXolr169krOzsztrvb299WgoHxwcyPPnzz1rTafTHsH1zw0nXXStv//+u/z3f/+3/P3vf5e///3v8vvvv3ueLxKZdNUxT/D4+FgePXokJycncnp6qipoduruouucTqcerYderye///67B4fevn1752fddUajUVVq40Jzg3XSbu++U19aq6/SjrbVlnZKesRta6P7EK0Gr6vD69fabFstLcB2NpudbOCKrdupE3aQ4rpsXo+7O2aIlkR3sq798yq1i+095t6ib8F9c+8999fPlk/+HfcSudt+zhwtXjj0Kqx4NXtmMBh4pP380tpwjfWhxkdbKu3LaC+4eh92rf1+X7V+3fmDfrZa03ps74t7362ovMjHdx1g5r2y+9lKwS6yXldjYt79dM1OMkcyk7Zwpga77cpWPe0he8E30EU0BPWebrcrpVJJRSMQ8bAgZ+cToXfbaDRU8eshGpWfM0RkkJtj/Eqj0VDFIzsKHGDr9XpSrVZ1M41GI9UytWLYq9SOmE6n+tC5mNtmx3OzSdjsbGrbXx4IBDwA5+d6ES6xo+LL5bJcX1/L9fW1lEolqdfrHrAdj8cSj8dVfcqvqcX0yrvAbuUJI5GIiIgCr50KjPZGv9+XarWqvfrovuJB+qFn4Jo7I200Gkk4HNaoLxaLeV58JAiHw6FUq1UJhUIyGAzk8PBQ8vm8vnt4xvbyY627u7uqwMYgADvjzwI+GNFsNlU5DI94MpnoqCKE2RfV07Ugi1B6LBaTVColuVxOhsPhnZ+xh/NsNtNJEQjuALjobNtpJF9tXI+9odVqVarVqmd4IkDFC2BFg1Gcb7VaqkuLyLmfoFur1XRdLui6ykciomLLIqIbKBQKyf7+vqRSKVV4slMR/LbZbCbD4dAzlbZYLMr19bVUq1Udz+0agGtFRPDwVuHtTqdT6Xa7UqlUdLwN95uvrVbLE/bf3t5Kq9WSXq/nO+i6w0/xRgDd2WymgEvobUV5CFMrlYrc3NxIp9ORXC4n+XxeZrOZih75bTgbgC5TFVBls1KJKOThtFQqFU2fkS5DKY/UCAeFH6BLaiORSEg6nfaMvEKr2HqIeOHNZlP3dafTUa1aDptIJLKwnq6NZLa3t1ViFNDNZrMymUzu/Jw7IxGni3V2u10FXETbI5GI6v9+lXE9FnSvr6+lWCxKvV5XT5fxJnge1qzIOGERAO0n6DKI8OLiQq6vr9VLZMSIiDc8BcxQjg8Ggwq49hRfFZCJfPR0mXqBNGWpVJJqtaqepVX1CgaDd0J4q562irXe3t5Kp9ORcrks79+/l9evXyvQIpPHJAYb7TAOyS/QtfKiFnR5IQBdvLSDgwMNwe1sL8bMMBm6UqnoS7i7uyvJZNKHu3bXrKc7HA4lEAhIJBLx5Cnb7bbU63V90ZnxNxqNpNFo6PgefjaTyUgqlfKkGPyIdBgtFI/HJZfLqW41aSWkU9vtth5iw+FQPUf29O3trQJZJpPR+W4ii+npWhAUEQ/ocmi6xsh1EdGoF4es3W7L9va2Z52pVEoSiYRHR/re9+1Bn+YzNpvNPKB7dnYm7XZbpRPxEJmRZA29206nox5EPB5/kEbl54yBeExjwFOs1WoaEo3HY8/PsCHH47E0m03N/SWTSTk6OpLBYKDTTFcpSwjokhYpFotyeXmp6282m9Ltdj0z00Kh0J287zx9Y7/XCTi9e/dOXr58qR4XQxXRqbW/fx2eLvsITxchcC5yjO6UaNbOusbjsQIuh7TfZkEX/V+bUySNwOwuxobjVbL28XgskUhEstmsHB8feyRC/ZKktKCbzWZlNpsp0DJnEMnUwWCgXiNC5lbSEyA7PDyUfr8vIovr6fIe8Hkt6Ha73bk/w5BS0gpW95f9wzqZ1sKQUAZy3ve98j8pZYzRHoRtnB6otePx2sKVO+ZnEbMal4AB48wRV+52u56JpPN+l30p2dx4G3aAIVMD/PAerNYvG6BYLMrFxYUUi0UpFouaH2232zIcDuXm5sajUWursK7+6yrTIGxQW2wk/wXY4UXiXa4iH+7q51oQI4y1Qvt4s4AD6S57WN3c3EgikZBOp6PfQ55YxL8CVTAY1JQH693d3VXg5c9Mp+Z+k7MnHEfPlmcP28LP588zTSQSmpPtdDo6g4yiHyOSeEds4VpENBrj/bHrXERs3aYYRD4MJo3H4zIYDNRbJb3JPmSqNlGrBVH+HdIzVnMXJ+cha/UVdN3BhHZUC+EChRUKL34bN8wWkLrdroa55BgZr8F0VPeUsslzOyaeUe54RH6OFRGRO6r2jUbjzihwqEOEv7ZCy/1277/dJKsAXrdSTO4LoXfypNB4uH92aogfeUYb7tlD0E6fxRu01CbyihRRyZVadgghPCBnDw2/7in7iPu2tbUlg8FAX3gmr9jJtTAr+HyhUEjpjXYYpd/P33q6IqJTOdrttu45pnBTHJtnFKHcoY+LrpXnwTvNRGTGXUUiEU8KhH0IeOI8UHzk3tup23ac+0MF7X0DXbvZeekZsheLxSQWi+kHIF+2qukGLj3Mgm6tVpN6va4eAF6Q+2DxkPGISUFAIQE0RPwbKyLyEXQZ/V0ul3UMO1er1VLwsiOhufdwnO1sMjb9qqhOIt6pEXhb1uMOBoOag261WjKbzTyg69dBwPPgZQZwCTPtyHVCYPKneD0UTjhs8dgAaqIyW5z0Y/14uvZzWC4ooGvXOhwOdQQRrBryuEwrXsXzB3RFPnq9/C5ArN/vS6PRkN3d3U8CE2tiDy87AYWDkJ9nvDspzlgsJs1mU9rttuZ+7bgovFwiB96fWCwm0WhUZyK6oPtVPV0e/t7enk7NzWQymowm97eqMNfy66CxWU+XeVOJREIfgkv/wfOhOMDpxybnhCRP6Fc+0oLu+fm5Fv0s/YrQl/Bo3oFnJ/EyNmWV1DYRr7fLoYZ3EI1GddNbGo4Nf/1Yl33ZyHsCuJZKBvADzp1OR7+f5+umF6BBEQ7zzP28pwATniv8YVsk5f8BuoPBQAvQMAny+bykUiltjFjF8yf/DIuBGW52vFCn01FP+1MAyjOz3q71dB9qbk8AhdP9/X1JJBIyGAw0wiVa4GCzHG1Al3logC7Ay17mgLn3fXvwJ/rMB7UhHG54KpXSEctbW1tSKpV0sfZnbS5y2TlfLqkdj5UBdN1uV0dRM3DSTQ0wJwsPB88CoOPFXGQEszW3cYHJr5VKRS4uLuT9+/c64I/LnTyKl2hJ6nbIpl8zsj5nPH9CTKKHaDSq3NatrS3PwWXBws/BpPw7n3oRqCWQKuL7bPENLifPx3qaGDlXP5tOuI/YvMm9FsCIvgCISCQi6XRaO9KYtryK529rCCKiqS7WO5vNJBqNep4xn9EejrYGwZ8XyZVas7l2tyGCPC5UMPu7bIGVdB0OGukaQJf7+tBaiW9PgpsXjUZ1U3NyjcdjbV+ERgRrAA+NzVIoFDQsInf1EJtHGaKCjWdiqV9HR0fy+PFj3TgYXhgPx3pFtvOKMHNRwHUH5DWbTW35pOjXbDa1wv+54iIFxGWG5i1qwWBQIpGI5PN5DdUtrQ4mC3n8g4MDbask77jqgwGD/A43nCYTxm/DZCFaIGR//PixnJ6eSiaT0fX6XZyaZy7ZH1Byu64oGgIIfh9mXzJ78Nu6gptCsmmv3d1dKRQKkslkJBqNKpCt8r66GGHplbwvFiOYBH1yciL5fF4SiYTs7e0tvE5fPV1AV0SURiHy8TSmw6fRaCjoEp4wPpoPFYlENCR6qLntyDYcJFezt7en9K/vvvvuzmRfUgrw9Fgnng1eEv/uouCG58flpkGq1aoyJj7HW+Z0tuHwugBXRJQFksvlROQDYNXrdc9o616vp9/PGPavCbpwtymuWs72bDaT/f19yeVyOsL85ORETk5OJJPJaMFq1aA7j+w/L/y2ofk8sFuXWdC9ubnR9JY9JChs0dl3eHionrmbe14lFZOo1RZHeW9cx+zJkyfa5QfoLrpO3z1dkY+dKhR7CO8bjYZ6boDubDaT7e1tJXHn83nNlywCuvM8XdviSzPDwcGBB3Td7iIoYa1WS8rlsibMLei6baYPNTxdOnVoVW40Gh7gpXDzJdAF/FmPbQteteHpiojm8ovForx7904pgtVq1VOE4Jlbz2EdZts84T/TyENEMZvN1Bt/8uSJPH36VHK5nKTTaUmlUrK/v+8Jf9fh6fIc54XfttvO5vK/hqdLbWE6nd4BXdvRRdrRRrcU3FZ9X10ut9WJgQqIY3Z4eCjfffedZLNZSSQSkkgkllqn754uOb3ZbCaNRkMmk4l6OqVSyUPoHw6HenJHo1FNL1BcIZx/qM1rAyW9YEOHdDqtNxTAwOwLWSwWNeyxlBIbkiwLunCJ8Qxpna1Wq18UhLF5KDbOutMLeLrc1+l0KltbW9JsNuX8/FyLg7lcTr1c1KXW7elaWhieLqDb7/c1RwoL4OnTp/LTTz9JMpnUoso6DwmX7D+v7mHZK66nu8oDwTVbTBcRD+iyXjzdXC4nR0dHUigUJJ1Oe9ILq7R5jpmlBlrHLJ1Oy9HRkTx9+lRSqZTSMJd5/vf+KfsS8+dPfeXP9XpdaU/X19falCDyIbw8PDyUo6MjPUFI+pOgXya84Ma6wMNXQnDSBIQ1VDEt1Yo/Wz6e1Q9YBtzsOm3FlJ72TCbjqVwHg0FPsYdOLpv0J3SzyX6/zeaOuazq2WQykVqt5mkm4GCmwPq1QJdiFfS6WCymzITBYKDRjKUMfU3v0SX7U1Fn7fF4XHZ3dyUQCGj3ZbfblWg0qiIt61qrpX6JiAKUy6aBZ+zWRnifbCFsFet0xXCsBAGpUctkcB23ZexeuxwPyt4gm3z+1P9rNptSq9XUa6MHOxwOe/JkhBfkSVbZOSUi+rBtTo9OFU4yES9p23IPrbfLJvHLbH4bDim/F9Bn3aQhUKKyLYrofa7KI4OuZBsMaPWFTke7crfbldlsppxoS2vKZDISj8fX7jla8IeTSwNEKBS6wxD5muaS/SmYxeNxSafT0u12tSZB3QQltWQy6Rud8T7mir9YwIVuRW4aDi/PYTAY3OlUXFUjD45NPB7XwxZWE00dRKGkRvlclrGxiD0IdG1/Ogud99+QyJH44xoMBh7eJkLBR0dHkkwm1dtZdT7HFlKoXouI0pxIa1juIIRtq0K1Cj0Dy+S4ublR0rul1dRqNbm8vJTZbKbVdrw2F8xW5UECujZnD/eV516v11XfQkR0jfTqHx4e6sGwbk/Xgi6OAmwGpBz/KOZSrNgj0WhUksmk9Ho9Bd3BYCDVatXDSV3XZ7Eeuc3fcthCtbJ86GazKfF4XPUaqL/43XRijXtINEl3bL1e1/cNcSNAF/0VAHeZg+zBoIugxecu8pPdblf1dTudjub50um0ZLNZOTk5UY+XfJnt7Filp2tl5iqViic3tre3p6G85b5SMebfWEXelKIiqmA0cNDts7e3J8ViUUQ+vmC0IyPqUSgUNGxftaeLOhNFUjjFqHJxGENSx9PNZDJSKBQkEoloSmfdni7hN0IsFPv8EoTxy1yyP80eVlKRvyPKiEajqs2xbk+XsJwUDrQ7gDcYDGpUMRwOPZoWVvhoVY4Xnu7+/r5yi9vttsRiMWUphUIhD5eXrjpSEisHXZGPLxluON6M/WrFbLiJVnybzUyx5fHjx5pAJ4nuV/89gGl71rlgHxCmVyoVTfTjAdE1xb9n/x02gi1wLQq6dl14BvF4XKUwb25uFHQJ0+j0KZfLmjujcs3pbds//bin5J6tABCFP9JHiJXzFY+FkBPmQiKRkGQyqSmldRueLi9PKBSSbrer7IpwOKwt3qSiYMG4TIJ1rpmvAEYikZBsNutpAiLSRHvXApkFsVV3JWKALoct4jhWtxbePoe0KyTld4qBaBbG0tbWljQaDU/jQ6fTERFRlkutVlOvPRaLrcfTtS2UeDiE5uVyWZrNpocihncTCoW0o+Pg4ECOjo48BRSKPZ9rE3yI2c64/f19ub291aq6raJC1G80GlIqlTxdXYTxbFqS6JzgIh+VrJbhE7pdfCLiKdxEo1G5ubm5063j0nBExMPPtQI9fiT+CbPsVavVpFKpaIEU2hViPM1mU1sv2axokNINuM6qurV5992Gv5FIRL3HwWAg9XpdisWijEYjicfjGrE9REPVT9vZ2ZFYLCbpdFpGo5EEg0GtSxBl2lQPjpCNKNYVVRC5EYFNJhN11Ejp4MTREMT7iqPxEF2D+5rLsohEIhKPx7WDlpQdDUtgGU7RPCH0+9q977xLw8JLRJAFPqktrBBOonqfTCa1qyOdTks8HtcmCPKly9q8FwrlfAvudCQh+swFqO3t7enJS1Ldejh40csU/exa+Tcnk4lH7B1PjN9F+oP8kg077fNZtlvOGukYO4oJb/bq6kqurq6kUqncSSlZURBSClb16o8AuiKijoEFXvLQgC5ykAAue+trmOW1i4juy06no3l+poxYxToObssxXcda4cQXCgWNfsbjsYqEu9oo4IVNUfhptnNO5MPzp109mUzqYYZzhtA+sgEIti9qD/J0LYMBT7dWq8nV1ZWUSiWPKhOCMaFQSOLxuOTzeSkUCurpArrkHAGVZc3SgUQ+3lBefkAXr4CkPgUzQnQ0Vm1yn/Dapi+W7ZxhrYCAS8OCGeGGbFaJydWyndcQsozh6XY6HanVaio3ic7v+fm5lMtlz4E7Ho8VDMLhsMTjcW2EoEL8tUBX5O59B3TtAS0iejBzHxDtWcbTWdbgtZMmofBTLpfl9vZWQYx0H+DLQYGXvo77zwGVSqV0P04mE53SgKdr+emMweEZ+Z3KsREt4Iunm0wmJZPJaFoGBxMnMpfL6SikRe1Bnq4lEwO6zMS6urry5Dan06lHVObw8FAePXok2WxWydDxeNzz8P3aBIROVtfBphcsnxHqitUjjcViKu3Izbcz3SzgLtM9wwFh9V9F7orgWACG2uYS3/k7K4Jue8mXMTxd0jGMY3r//r1epVJJ10txkZecaQuWk/tH8HTtfbdaqRZ0ye3C3yWX+jVBF5DgsNjf35dKpaITMUgxWMAlR8k+X1dO2s5RwznpdDpyfX0tIqK1AYqx5NUB3Gg0upK18v5Su0GC1oIuLfikUff39+X4+Hg9oOuG7MPhUFKplI5hQfCXl52cou3gItlvxy7TkcbDcLl5iwKZJZLjDZAn5aXCQwRQ6/W6ej48hMvLS6lUKtJqtVQngrwOgwMjkYhWPBe1L31O8sm2W8beI5G7Y9qXLfB9bp2u9ik5W9uKbHU3oOPgyds0CPfcXjaC8CP6ce/LvGYZd3glwIS+RqfTkb29PWUL0HTgh8Ng18K9cdNL9qC3HPGbmxuNLCyB3zbQUGvZ2dnxSFIua/MaZNxmKdT9yC8z14+OVPuztrFm2SjN3lN7P4kAXWPQKzWJdrvtYWS59FjSjryH7Nf72L1BF14bG1Pkw2lBNS+fz3sm1jLvLBAIKB/Pdn3xss4bt8wG43qouWRyW5yCuuIWnprNpuZUe72eCrbwEAaDgcTjcY9uA8pIhMvrFBb5ktnNuizw2nCM4gbVaLQKAoGAJ70B5W04HEqtVhMRUYoeoWS9XtdDy3YsQdF76CTYTxkgZS8LvlCtoI+RarLjXG5ubiQajapwj18kfncdUJQoSI9GI6Urck9sVHN7eyvNZvPOGCHLuoDRwDvgR3FV5G6DDM6WbZCC4ULxDI55vV6Xfr+/km45956SwqDmQPRijXb/i4sLHfwK8MJ1dg+yfr/vcRZWBrqEJ9b9z2QyUqvVPNMOAFcRUVCzXgTFKkjxbHRbWeVlf6i5ZHJ+pxUi5sRCGxcvgwLhzs6Oegh0Wk2nU6WaUBiyLcJfM0fpmt8UG1vtBXTj8bgCbDAY9HgBhONMqB0MBqq7YRsnEomExONx/YoQNmkcP0YgWQF6ojHbIk4qCaEb9iLAwYsXi8U0urOfexkSv00hQcUj1K7VatLv9/VdseOPrKfrgoNlG9mGJstq8cPcBhneE9soxWeB0dJoNKRcLkuj0Vgp6Np7itMHtbHVat35GWpTjMUql8seuqv1wu3kGKI9sgH32QP3Al06OCyPlc6iTCajifCzszPZ399XfQAeLmmE29tb9ToBXHQDrOC2LVYtspldMrlVX4ISRFeaLZh1u12PmIhV6mKDU0jB07XMgj8S6Pptrk4qI8K5P1tbW5pL7PV66vniFRAmNxoNpeXwNZvNekj8Nsz3oyOJAxXGilWUIuJBOtPSwSigkB6Jx+NaycbTFVmOxO9qb1hlu+vra2m1WioQxCXiBV3LiyfXaAvfcHjRuvbb07VsCboTuSzYIvVpD4lVNG6495QIi0ngdKBao1YBz7xer3uiCdfT5ZDBObCtz1+yexfS8ECtelA0GtWwgnlDIuI5DdjUbFTLImC8tBUUsTzYZbiELpnc9v0nk0lPKzC5XbiZ9vdTsLLzx6C0xGKxhde3yOdxQ9l5uU97QPjVKccpbu+BzYGS52YSLPnPdrvt6WC0OX8KKBD3UZ8iaiD/6zc4ELrPE4+HwkTOz6afkPq03iKff5ncuc2924JlvV5XVT72GvPdRMSzdvKmHFy8q7wDbjHWrzw/hyrrReDIphjddBJTwHnuttvTXss4MtbTZ40wb5gz6Bb92+226sTU63XpdrueXK11xviZyWSigw4e4rEvjGq242s2m+ko5nw+rzeTThMuiNF4wp1OR7tUuCwP1i9PBxGZdDotJycnMpvNlM2AR8wm4IGhD8vUgEgkIk+ePJF8Pq+si3WZ9foJfe3cplgspuuB2oWX5ofK1Dzus9VvjUQimivjouprhXnQCKAg6WoEW1aBn11IzJ2jRbnRaNwRa3LBot1uq8Tj/v6+ZLNZnTlGDt92Oi66VvfZioh6p6Rh7EGFk2DX3+/3pV6v66wvSP6pVEqSyaRedCn6lQojSqzX6zq/D6+b+o7NpVq1OSsqRbSTzWZVFmBRlovLoLEHJ1EXw2btRVpERFQGwPKaw+GwPHnyRE5OTlQVce2DKdksPMDZbCaJREKbCA4ODrRjKRAI6IZpNpv6ElxfX6tw+Wg0EhHRJgk/hz1CG8tkMhrmUsCzba228hsKhTwbN51Oy6NHj6RQKEg8Hl9KZeihZnPUtDDa0SyAgIho8cJu8mXv47xmArxelKwsr5ELac9KpSKRSESazabnc7gDHokuLJD5AQ5EYpVKRc7OzjycYl5Gm4fEo4WdQBSWTCYVDPyacOA+W5EPYNbv99U7s+336HKQKqEmQU4aiiZ71+5hv0GXojNdncVi0dNAY6UAuLd0egFk4XBY8vm8KuNls1kF3UX53NbT5X22cw2hfNmDi6iBAwGCAMJCkUhEJ4fkcjndB2sdTGk3CpsukUjI1taWtv3t7+8re6Fer+tLBmdQRHSmloioJ2UbBfwIhfB0yclajVlam6les8ZgMKii6oVCQQ4PD3VWkvUs12FuftuG+Xi6ACKerlVt8qNY4TYT7O3tKQBwz9yQvVKpSDKZVE5pOBz23GPbxGH5z6vydJmwfH5+fkcdj/tkW6ddTyeTyXg83WU42ti82gWeLkUoUnB7e3sanl4V6UoAACAASURBVLtAxs/SjGT1LQBdS2/0E3RJhZyfn9/J6RJBulQtOMaMbMLLBXiJ5BYFXZtms6BrNSosjZUDn0J5OBzWKSFc4ACyqbQoc63F0+WXUayy3SfkOwDcUCikp7Nb3RQRz9TNcDjsa5UVTzcUCunJJSKefN3Ozo4+GMI0QPfJkycqzkMa5Gt4upgtaPF5+Hvypi6FaNnf/6kmDvey/79UKumAUYCUA8G+EKzPerp+ebkiXtA9OzuT169fe5gptiDCy8M4c15+Ow3WnW67jM37nJPJRPr9vuoRWOCHa2vXPplMtOsSrwzAsOkFv5k280DX6q/A4Rf5yCPnd1OQx7MFbPlvAHCRtbrpBVsAI2KwabDBYKAOH2wESAI4XQzPTKfTnvTHIjxtX1Qv2DhsQjavVdknBWG5nLY4QTXYTfb7VQgiR4yIOoU8d/TJ1taWR+/A9XY4XL4mU8E2gLheIQA2b2qGH7/3IZ+bnJe935bPaLmUy/yeLxlej8uz5OBnYKZNbcFesc0gHDyrZqrY8BhlM5vKIFqw3FibI2Xv2sKUH6mQeevknbVrsn92n61bKJ9XSLP3epG9MM8ZcGlkdjyPbVkX+VhPcpt/3Pb7RXn565Ea2tjKbV1tnRv7Y9rm+X+0RQ6VdY00EhEJfO5hBQKBP9yTnM1mc+/oZq2L27eyTpHNWldl38pav5V1inxmrZsTcmMb29jG1md/HLGAjW1sYxv7P2Ab0N3Yxja2sTXaBnQ3trGNbWyNtgHdjW1sYxtbo21Ad2Mb29jG1mif5el+UzSMzVoXtm9lnSKbta7KvpW1fivrFPn0Wr/YHHFfStl4PFalIbRA379/L2/evJE3b97I69evpdvtyo8//ih//etf5aeffpIff/xRstmszieilfFT9iXS8+fWajvcBoOBvH371nMx/ZMOmP39fXny5Innekjr7zJrdc0dhfLvf/9bfvnlF/mf//kf+eWXX+T8/Fy1IeZdR0dHkkqlFl4nnYT2evPmjbx8+VJ+/fVX+fXXX+Xt27ce8ZDJZKKC5wjz2Oka/N50Oq2aFoeHh5LP51U3gMuOXrrPPbWTA6yuLOtrt9vy22+/yT//+U/57bff5LfffpPpdOqZXpFMJuX777+XZ8+eybNnz+T58+eqPnUfvYWHrNVer169kv/93/+VFy9eyIsXL+Tt27d3fjYSiWhbMvoKVqkrm816JnIwPXrZtT7E+JnLy0vPe3ZxceFRIut0OvL06VP5+eef5eeff5a//e1v8uzZs7Ws03ZDvn//Xv71r3/Jv/71L/ntt9/k7du3uj7Wenx8LN9//718//338qc//UmePHlyRyXxPnt1qY40u1noF0eXkrHsaKaKfJxCSlvdwcGB7O3tedqFV2HuLCfUzur1ulQqFSmVSnJ7e6vtquvUVfiSMd3VXm/fvpX379+ryLWr7uX3NGDWYVtP6a/nGgwGKopDq6xtobYSeLYdFTHzdDotyWRSEonEUmpYaCPbizWipVuv1+Xs7Ezev38v5XJZ9T/seJvb21sVZEHJDR0JrmWnWvDe2IvRNmhUMAre/TkOQqshwWdst9se3QU0M9Zh7kQOMAHFuVKp5JkywZ/dOW/2YFtFy7Ur7YgqGqPgmWyBehu6vOhhXF1d6UgntKCn0+m91MYWBl3Xm7DKSBZ0GeqIXqhVqbKn8KpB16oNcYMt6AYCAVXm90PIxC8DdK2q/fn5uZydnUmlUlElJ1eqkA38UIHleUbPuqvU5I5piUQiqn6GKIzbW28nbSAqhMhJJpORZDKpmruLgBpC4FZikJcIoW2eO9Kj3W5XZrOZfrbt7W0ZjUaqo4wHPBqNVGCI/vxl7yvvDVej0dAJvtxb1zgAEee2UortdlsHP6KWhwbyOswdmjkPdN29akdn8bN24KPfoGv3M4cdh5UVXXdnvyHYXqvVPI4iYl33dW6W9nR5qa0yUrValevra6lUKurpArpWQMIKoqwSdPEKeMjdbldPNDaCFbpBPOSPYNPpVDqdjpRKJXn79q28efNGSqWS6tS22+07m9h6un5OX8ATtGLleAPD4VAODg5Usi+TyXgmAHDZSRxbW1sKtlYVy4qfLOrpokVrx7CUSiW5urrSCMxOtRD5KMISCoWk3+/reCdAF6/Irz1iQRfwdD3deaCLN24jRwu4iLQzRHU8Hi+91vt+HqvshWSqC7o4A3ydN5VjNpupguEq1mkPLjCB+88hbfW1GaXUbrd14C7au8wKXDnoWoV2FuZ6us1mU/Uq7dQDgJf0gjtexG/j9EVakqkG9XpdqtWqlEollR/k1PqjmPV037x5I//4xz+kWq16PBu8NDsa2o7jXnbjup6ule8jpGXUEZKI+XxeVbtEPiqjEZqTxiEfmU6nVTrTyuU9dE/YkTcA7vn5ubx//17Ozs7k3bt3Ui6XPVNCkB/kdwWDQdULBnQBWT/3iAu6vOxfSi9wL/nz1taWTumIx+NSq9V0Oko6nV4b6Ip43zXGYYEJHH7sRyJlKxzPvgUPVoUJFnRtWgZnrF6vi4g37ws4h0Ih3T8M5mUO5H3sQaBrk/92yihh0dXVlVQqFanX65prJLxBcJtRF5FIRMNOvyXnrKQhniKbstVqaWjJ6BOmGicSCUmn05LP57Wgg1AxAuhshFV55XbDjsdjaTabcnV1pZFDtVqVZrOpAGs1h10JQr/uq+sZ4JkwBNGO7Ukmk5LL5eTo6Ein+loQtZKaOzs7Eo/HPVMCFpn+7BqhrT0kbP6QwZk8T4Sy7T1jwutwOJRGo+EZzIogvh9mJQ45jFxNYXdYgCs3StQYjUY192xHyqwrXeZKaCKwPpvNZGdnR/Wf+R4iZJGPB4k7NWQVoGsPOw4F9KcR1AdY3Z+jkMz7iWOzkhlpNofL6WTzH9VqVS4uLuT6+loajYYOdgNwETc/OTmRTCYjkUhEAdfPSQFWMZ6L6apcABj5O8bxHB0dyenpqZyensrR0ZEeDszzssLtIrIS4KW6zlWtVuX8/FwnlBLKM0CR5L2dWWdfXr+0X13QZZwNABWJRCQej+uhdXJycicExyuzaQdypHaax7Lm6qayH6zXwu8nzwyo8t8AG/vn5uZGtre35eDgQNLptILFMsb9QEB7Npupd83wVqsvy58R+6dQFo/HNWWH7isHXzKZXGth2N0neK37+/uSyWT0wObiHrh6xX5PD7HmRhj1et0z2JP9YPcQjpwf9iDQtZsZ0LX5smKx6AFdmAmEkIVCQY6OjiSdTsvBwYGnmu3nzbWnLd5ipVKR8/NzXSMhzfb2tqTTacnlclIoFOT4+FgePXokh4eHWnXf2tryeHUii2l23sfslANyYPYwsyeyBV2bM3UFw/3ydK34vAXdnZ0dOTg4kEQioc/5+PhY9vb2PP+O9WZ4wSy7wQ8v1xWstqL4NtXCvbIC6y4zIRAIyO3trYb7u7u7kkqldMbWsmZBF8F0CnewPcjb2rRMNpuVo6MjvbLZ7J2CJSN71jnlxPV0mWrB4cphRf5aRDSCxGGwqcZVe7oUIu0kaLun2fMI2vtlD/Z0yeECuqVSSc7OzuTi4kKBolarSbfb1ZcpmUyqB5nP5yWdTuucMeuJ+enp2ko7nm6xWJQ3b97I1dWVeg6hUEi9s6OjIzk5OVHQtZ6RO7XWD4CYZ+48r7OzM00vMFEXwOOy0w0IUy1bwM/0wmAwUG/FeroioiNO8HThXNv75l4um8EPs7laG/65z8/SF/EQ+fPW1pZnntZgMJDd3V0pFAo6wn1Zs6DLn+Gq2ykltvi8t7cnuVxOHj9+rPzh4+PjO9Ml3ENkHTYv9w+ligiBVEMgEFDgm+fl+okJ89bp5tIBXUbYM8/PYoBfdq9dbl86O1ySimSxWJTz83PNmeKJBYNB2d/fl1QqJYeHh3J6eirxeNwTsrs5P5szXXRUh5191u12PdSw8/NzKZVKEo/HJZlMqoeWzWY9g+ji8bh6w4D3zs6O7O3tyWw2U5Bb1lzqHRzicrksFxcXcn5+LrVaTYuS9sS1m4GXltlpflPxbIEED4ac1/b2tsxm3kGOXO46LRXIpQX5OUbGLfTa1FggENAx9pFIRGKxmDIUKJwFAgGp1WoKuLVaTZLJpLIe7MDPRdduwZ/UBs/Ojjmy93R/f19isZimwx4/fiyPHz++kwddVST2JXPvOxX+SCSiDsJsNtN9hGPgphVWvUYbufGeQ1WjRiEiumYR8RxsbprsIWu+N+gCYlSsoS2Vy2Ut7oxGI+3m2tra0hn2VKbj8biEQiFNsNfrdU9IweUWWx6ygSxlqNFoSK1W8xT3GNYoIp6w2J1cfHNz4+lI6XQ6cnBw4Pk8bhjkB5H/6urKc28Zwb21taWj321OjEnKHAgUs5haCytjWbORDgUQO9V3NBpJrVaTYrGoaYWdnZ07HrkFZDuG26+Gg/sYVCrSSrlcTu8V6wKc4XAGAgE9eHhR+/3+HcB4qHHoWHaP9cCZiMteg6QPO6NSqWj+116rLkZ96rNwmBEJuIUxmpNYswta61irPezomoxEIh72DwAs8iFdyTsIJZIBlYlEQlOl9137vUDXEs4pngEMkM1brZZ+GFtBhYeZSqUkFot5GA+DwUDJxbyAllwvIg/malrKEDQV1mm9FP7tg4MD9XiDwaCCLp489JF6vS6pVEonx7LOZUjc84j8NEBwf+3BRH4c7iMFHhHRYgUsDLw3P0DX9V64LOj2+31pNBpSLBZFRPTZ8r10GcXjcR0bz+Vnw8F9jD2ayWTk5OREHj9+rC8OeVG8ejrYAEYbReGp8XOL7AGXoeB2bVpKpcjHg9pGROxjPHX+nVU2GHzqs1gvkTXY339zcyOdTkfrPTYFtqqU3Txjr30KdInC4eeyvr29PYlGo5JMJj1TgR/iHD7I07UpBcAMQGs2m/rQ2QCW+I6nC1cW2lYoFPKEdZFIxFO0+pwWw5fWCk+TfGi73b4DuozXxtMlNXJ7e6ufk89aKBRkOp3K3t6epFKppUnc84j8FCX5vfV6XT1cqtZwBclL3dzcqKfLhoB5sQpP13b34eUOBgPlNvb7ff2z1WMIBoMejYBMJqNexTqbUojGMpmMnJ6eyvfff68pL0JIvMl6va5k+HlUNPKlix4Y1tOFvubmcO3LjNeFpwulMZFI6D0GANib6zJAV+QjjRBAZf+Mx2NPx6K95+vyyq2nSzQB9tguNaIKPtPW1pa+Y5AD8HR9B13rPTLjHmCo1WqaXrCFAF4u220Uj8elXq8r6L59+1aCwaB6PHhpIh8B8aFgNp1OPe16pVJJ0wu0Vtr0AuH49va2p6LZ6/Xk4uJCisWiFItFubi4kFarpRXs4+PjpUnc84j8FM3oOGs0GurhJhIJOTw8lHa7rS2WzWZTbm9vNawDdKER+Q261nMFfC3o8vXq6koBgisYDMrJyYkcHx9Lt9vVvOi6m1KopgO6f/rTn9RDFPnwUrLXLy8vFXRJq+A40C0G4Nr6xH3N3TvW08WBge7GfbfpBV528qekzCytcZF1LWKArvXKWQf7ZzQaeWoObl50naDreroALl+Hw6EeHBwM7NNUKiXZbHa1ni5eFS20rVZLK7vj8ViLKtCA9vf3dSMOh0MFB7xHgDsYDGqqgWongEv18KE3lE2LGhNdcZYoHwwGPUwB/huaWa/X0/AefQNAxhZllqls2odviyRQr/r9vnIuAd1YLCY3NzdKZWNTu+2XUF22t7eXprvwMpG+SCaTej+ICtzc7M7OjtKB7MuEd2+9SJ6TS0Zf1GBCsA9sUcoyJXjpaDBwC3poL1DYwuOh5R3ak5+CMpZVwe/nULOAa9cCy4K24X6/r9Qz61Wuw9zCME4MLfeVSkX6/b7c3t6qA5NMJn2NylgHXzms+DoajbT7r9lsKifeKp/hFBCFwUXHMcTTtY09voKuyEcFJjo4LOB+irZkC1OhUEhqtZqcn5/L5eWl5iy3trY83hDheywWWwh0rQBFNptVD4AQB+YFlCBaQkXEc9JxwHQ6HQ3fyd351XBgPRObQ8JDCIfD0m63PdJxlpVAzszNNbbbbd0E5IKXMdsAkU6nReSjdwdANJtNj8DNzs6O3kfWhXwiz7zZbEokElEanB+g69LB4LzaZoPxeKyei/2M/D86EPk5CpTsaQu6Nkz1g1rEfeV3RqNRERGtriMeRfW91+spWNB1WavVNLpMp9O6l1Ztn2pMqlarcnl5qRx5Gnugv1mP0W9GkO2eJWdLPhzQBYBJk9brde36RDQIVURYT0TxdAFa2dIv2YMoY7w8nAQoA+FJ2a4oTn74vBRSaFAAdFF0Ik82m80kHo9r7nUZ0OWG8RkAJr4PCb9Op6ObxZXaY/NYwPUrDLKgC9ACGnQpUXTg5bekedZB2GufD14DxPtl10n763Q69XRzkX9MJBIeMj/gRgTDAQ24TSYTabVaGub7Dbo2eiD8s91dpIVsoYef29rakul06smrErnBIMD5ANz9EhaCsgToEvaSw7fiMKSX0GsAMGq1mhweHsp4PJbt7W0F7nWY25hEV+XV1ZXKkVJ8JMrBY6RouKy5jVw4i8gBdLtdJQRw3yiYA75gAvRQUneALuwFK1vqe3qB0AYlMUROCLfxJvGsOFk5LdrttkwmEykWi3c8XVs1FPkgbN3r9RZOL6D8Q5GOnBfAbsVvWq2WgivhBF4nlVUXTPzydCl6UAzh4RFaxuNx6Xa7d7itturL88ELAgzw8GzqZ1EDdLkneH0WkIgebMvqPEUyVxEtGo366umKyFzQtQeW2+PPZ7QOAwwVPBzuJ54uxHrygeRd/Vi7pf/FYjHp9XrKBCHN0O/3FaB3dnak0WhoaiqRSMhwOJRQKKQsonXYpxqTKpWKXF5eyrt37+T6+lo98Gg0quC1Ck+XlJvNgQOspEi5rPwnKUXb2cnzAHQhCdjmHt/TC/YDfSmXyYcl70fFezAYaFWe4hseMaCyv7+vQL2I92DbUslDugUdWjvR+kWcxwpZiIjSmfCcyZPZFMMy4MshRcoADVkAjRfOhmuTyUR/v33QbvslnqUfYMDLDeDzctj0Qq/X82xA+NgoZVkxG9I45CDtPlnW3PSCzWm6982Gw4Sj7EO3LdUqptncuV+axZiNcjh0OUgp6rBPRT5EkoFAQFMNgAu87lwu51HAWmbPuvla988cBvZCpMly+mFkHBwc+J5esI1cPB9yyqwDaU+bw8XzxfuFJsYeQk2MHDT1lUXsXp/QdpYdHR1pBfL6+lpzJoAC9Cd+zla8x+Oxuu54sTZJjYgHAiiL6Knye7e2thRsuGG0+EUiET3VCMkABzbu7e2tUsMymYy2XqI+Rii0rJKXS463+UE8NhuujUYjT4vvqrt3PrVOgIEoB2/ddu2g9YtWBzxpoiO3au1Xyob1ceByWNrKum1yaLfbsrW15QFfW6Di5dzb25NEIuGhDgHofkmTEkkkk8k7HVJ4vhScARbasfkMgHS73dY9vWwjx7xGHpdzbwvWRK4UztH/jcVi6inm83k5PDxU0PUjvWDZS7zLVt8bxhU1KdvwZQVvGNlkRyA9fvxYhbCWyZE/GHTH47GHj4ewLzlYRp8Mh0MP6JKiIB9suz4IA3Hd8S4XAV1b0OO/Cf9INySTSalWq0p3Ozg4kFqtpp8J/V+U0Y6Pj+Xk5EROTk48oGt73ZcBXUuOJ7TlZaMDjVwe3+NnmmORdVqRFlucst8znU6l3W7r2JZOp6MHCIeK31QhC7pMTICBgLdqO8sA1e3tbU9kRWRGK3mr1RIR0ZeStIIFXT+MRgdbNbfeVjKZ1HqKBTvLL+UgwZEgolimkWNeIw/5UHKi9vlyKFi9Zbxv0guITOFo+eXpgkmkCizfHtCdN2nFTq2Apol8wenpqc4cXDvoBgIBDQ8IzSuVioY4IqLKXoRw3Azb7+xOkwB0mZFlCxcPNdtSyImOh5tOp6Xb7UoikVAdCDsaZjQaaXcdAH10dCTfffedFAoFFdoGdAEjPzxdANV6N/v7+9oMAWBYTYWv4enadZKTnjfXCmK59XRtVdkyBvwsTqJBIfKRkwt7gT1p2R7ko216gfwpoNHpdFR5CtAlJPbT093a2lKeLSkmPNxkMql8cxseWwFuDgkrgo6nu0wjx7xGHhfMaJ/H0aJbkvfEdoDC4z88PPTMnvPL022326q34l71ev3O9AprFDKTyaQcHh7K06dP5fvvv9fcM81Ki9qDQBfAJfThg8FxhFBMnseaC778N6BrN9YygwlZLwAh8lFjgRd+OBzqZqYdUUSUP7qzsyOTyUSV9wFddID5OT+8Gxew7QsBONgcpKWvfQ1P164Tr/xTOWM8SF6EVqvlSSmQN/UrtYDxXFgjE0o4rETEM/OK9IKNkvB07VQBNAVsO6jVt/ArvUBLN6wU3gvqEJbmZKccIIjEegFeO2tt0UaOT03kYMAnQz5FPr7r0+lUi0+xWEy/Uv3P5/NSKBQUW7j/y5jda9VqVZubrq+v5fLyUq6urqTRaNypTVnNFwu6R0dH8vTpU/nLX/6iyoh8z6J2L9SwIRt/xvUmb4cUmjv5wM7tgsJFmIfup82b5nI51UJ4qNjNvHXz1T5MDg972VlttopNGEni3M8ur0+t2f3Mlvu6CoHyRddpwZZipY1kkPtEX5kioB2FUygUJJVKaeHTj3VZDi6pEHcun4ho087l5aX0+32JRqN6TadTKZVKunaiOMuMsGLjfqUX7J7lHtu0gPWqAWV3ECnPxQKZKzyzyLps45Mrtm7XZEchWSWvnZ0d9cRtBEH0MC/yeWg0Z6l/FKQjkYh0u13Nh1sPl5SCyEeH0BYrKQh2u12lEtoIehG7906xxalA4INwyeHhoXaW5PN5BVcS6e6pzEtnO5cs4BYKBSkUChKPxzXkWBWo2JfTdihZbU/Wus4hmvPMbTqxoPu1zFJySBtZ3mOr1ZKrqyulB0IZ5KCFXF4oFCSXy0k0GvWtq8umQkTE0yhBl1cgEFDJxslkIo1GQ9tuI5GIzGYzubi4kGq1qmOdeA6WiuaKtixr1gNzNYGt9gPMEHKqtoMKhwbHwSq4WX73Q8w2yABMgBL5Xcs6smuBbsqzSaVSUi6X9T2PRqMesSHb/PPQd43UF+wPimMWwPf29rRZgq8839lsppQ3Bn1eX19LLBaT4XAo8Xhci8CL7td7e7pWlCIUCkk8Htf2T0TKXboILv1sNtO5VLjunJbw3XK5nM4m4+9XBbquB2CB1hL/7WkJ19MS69dh9t5bj3fRl8cvs9QcQnHm5JE7q1arStZHL4IKdj6fl0ePHunYdUI3P8wW/WxBkjbrSCSizTEcFvZgRYehWCxKtVrVbjqiPCuUYoHBr2dhif2u1gWAZkEXb9wWKC2lD+BdhvFCxIAa3O7uroxGI88wR9gLMGyIDkjpQV+sVCqaaohEIioQb6NO1sw9v++9tZRRWsu5J+yF/f19Tb/guMDNt5x3WtXL5bKmJwHchwpxWXuQp0u4QxWS3umTkxMtlNgkPtXjwWAg1WrVU+Qgx5NOpyWbzaqnm8/nFz7lHmKup2vBl8sqPpEXtGHPumyep7vunK5rluOKx1Or1eTy8lLevHkj7969U+F1DmEOjng8LoVCQZ4+fSrJZFJfNr89XdZpi5LwdqnyAxJWp2F3d1eCwaBGaISkNs0G6C7LXnHNJfZbsLVDEXnfiCxsG73bGWr3zKLvFKAL4NKmjzfI/D7LqAgEAp61k2+Nx+NSqVSU/TEcDrVWYml7bnR933W6xV33/bGSmSKi3+c2R8GAsII2AC7CXIvYvUHXzQVRZcVswwEXwhJ20ishCoDryj8mk8mFP8xDzIIuD8QWeFxQtqR6vws/910nhSubzLder4jceVGXFeWxZv8tcom8YM1mU8fZX15eytnZmfR6PRH5qL4/b2IwnpPf6RKbG7Wyl6lUSsnyFMrQBgGcuKe2ccMVz+Gr3+ZKZ9oR4VxWawE+rmWEWInVeWI/i+xfolSbd+/1epLNZlU0xg46oEHHhvEccnjoCLCPRiOJx+OeJhlLm1xknXiivBu84xy+Nt3CZ8FBsJ1stDHz/ls1Pw5dixv3Md9mM7stgG5XlH3xaE08OjpSnp5fhZT7mg3Z3bwcG9+21TYaDZlOp7rxbBvuOtZqmz3YOAiiRCIRTfIDgLx4frXXWvFy9CosRxPJz0ajITc3N55RM/w5Go3Ks2fP5PDwUOLx+B0ti1UdZDs7OxKLxSSXy6nEJFHLaDSSUCjkCel56TnYCC3tXvWrcOYaHVSAKweE7Ziiuwux/clkcucwOD4+lkwmo8VfPxp5XAuHwxq13NzcqNdq6zowKfCIx+OxMjM6nY5cXV3p4cchh8fJgflQp8G+1yKi3j9gzHtD88Ph4aHWIYgchsOhsphQk3OxAcEme90nivAddO34ZUva5oOji5DJZOT4+Fjy+bykUinf+q7vY27IgXcDiFrdUgu6IqKhyUNONr/Wyn+zBoo+FKEA3UajodGEH6BrD1QI+FYgnrZuQALQ3dvb89CF4D1SLPVbQOhTZkGXFzkQCCgnG16uLV6RG8RDDIfDvjMt5tl4PNYuKhp43AkmFoC73a7mypEdTCQSOiWYNKAfjTyu7ezsSDweV0GoZDLp2SPsE0Zmkdtnr7bbbQ/g2iYFWxB7COha9oKIeHK5OHx0vmYyGW2OqdVqKj2Jat7W1pZSY20XIHKVtVpN8vm8alvg+X7JfEU5t/+fU49QF0+X6rX1dCORyNo9XZvzcj1dbq4FXZoTeCHXuVaR+bQdZqFB3MfTZY4T1dtlzD1QOeWvr6/l7OxM3r17J5VKRURE+dnk+7PZrOTzeU+PPZerYbFqT9ceWBSByuWyPnNXU2BnZ8cTTawjKsOzIj9+dXXl6Z5k0ratvIuIgm42m5VCoSCnp6eSzWYlFov51sjjWjgcVnW5aDSq7NvLAgAAIABJREFUe81eKIzR5mu7wUg3MIkXwObew0BYBHTZWzhVe3t7ehBYQR72c6lUklgs5ineQ3NlnaRIwIN6va73H07/fRzHtaUXyNFYrduTkxNJp9PK+VsX6LqMgHmqXW7HUr1eV34xifp1mdvsYSfXRqNRicVimn5A+S0ej6tSm1/pBXsQAbrv3r2TV69eydXVlRZGyHcx6eLRo0eqW4H3SOi+joIkoIt2QjQaVcCFmG8r19xrgIyaA1HZKtML4/FYOp2OEvvfv3+vo60Qa0G3hNwj6YNIJCK5XE6ePHni0TTg7/023ht4zRy4thGKydsAfygUkmq16smXRqNRD884GAwq4Frp2Pua9W7dJgjuG6wbvqZSKVWR491nkC2pkVar5RHPqdfrEgh8HP1033X6+iQsv9DNj4l4qTwu/elrVOItdcz93W4F2VWj8qs49dD18tUW9yyB3F23X+pXVmGKQ8n2+tPbzyRdWz23jQmWnrcuBsi8ZglbybfrsC8p95n0glUpW9XaLSjY3CgX0o7uz4jInfdq1aJIdh9+ymD9uM1Hdg/ZRiqrY22xY5G12a+u0QCxvb3tEay3HGERL0sHp4O9gKc8r5X4c7Y+3tPGNvaNmwWAr3Ho/v9iX4vmuKz55cAEPrd5AoHAH25nzWazuU9ss9bF7VtZp8hmrauyb2Wt38o6RT6z1s2JvbGNbWxj67NNemFjG9vYxtZoG9Dd2MY2trE12gZ0N7axjW1sjbYB3Y1tbGMbW6NtQHdjG9vYxtZon22O+KZoGJu1LmzfyjpFNmtdlX0ra/1W1iny6bV+sSPtU5SyYrEor1+/llevXsmrV6+kWCyq1gKX7eShT/vZs2fy/Plz/crolPvYl0jVn1qrHUlN6+GrV690/a9fvxYR8YyRSSaT8sMPP8if//xn+fOf/yw//PDDWtY6z1xN1VevXsmLFy/kxYsX8ssvv8jbt2/vCLEz1+mnn36SH3/8UZ48eXLne+67TkSo7bN99+6d/P777/Kvf/1LfvvtNzk7O/N8z3A4VCnFVColiURCZTwRCcnlcnfmZ32uvfq+99S9X2/evJFff/1VXr58KS9fvpS3b9/eWet3330nf/vb3+Tnn3+Wn3/+WZ4/f+5R7XqooP4qn//Lly/lv/7rv+Q//uM/5D//8z/l7OxM9yhfc7mc3nvmDq56rcPhUN69e+e5isWilEolnSIyHo/lr3/9q/z44496oYb2pT2w6Dpfv37teV9evXqlE5KZfCEinjFikUjkzvufTqd92asPagO27a9WtxVhZdr3uEQ+9kGHQqE7bX6IYqxC8MSulRY+RCtcCTnbM+5+JjvjyZ3b9DUFxO1npFXRtj7OE3BZpn3ZnbbhqrQBSnbO1e7urme4KM8coGNCbTgcnjvfa9F74466oaXUXu69cNs9x+Oxp1X0a5n7jO1l/84VlXc1lVdh7h6z7cocaDxXO1vMtq7ba5Vm9yyCODxrOyXZ6uPaGW+9Xk91eK1crcj8uYafs3uDrvvA7ZiOarUq5XLZ88Ank4nKs9EHPhqNdOY9AhK3t7e+T4pw19pqtVSDFCnCq6srqVQq0mq1dKxIIBDwDK1jGCU3G+EOvycdPNSsuBAAZgXXA4GACg7Zl4CXD0GXh2wUV9MX6chMJiOdTsejRMZXK04+nU51ZNN4PFbxcFTImLuFt7HoyzibzVQPAq0CRLYRqnbBQOTDnun3+9JqtaRSqajgSiwW0/lgX2smHTKjPGtUxqwYDOJMTMG1WsB+CB6JyB2QR9yKq91uy9nZmVxcXEixWJSrqyup1WrS6/VkOp0qFrjDYFetv2LFxxkyiya1K57OYb21taVDGM7Pz1WmMp/Py2g0EhHxvHNf0qCwdi/Qnaen2uv1pNVqSb1eV+1PVxyG8Ra8fIPBQNLptGqCtlotERFP+LYs6M5bK8LPFxcXcn5+LsViUUexMKWWG87Gvrm50ZcPoY50Oq16pcsMplvWrNeDB2/FhILBoEe9H69DRPQEf4jN0/RlBlUmk5HhcKgi6ojtiIgnHYGEnwXccDis+rtMIkHBi9+1DOgiBN5sNlUYnPvhCgLxM0w02Nvb0+ghHA5/Na0Fq3jHM+XwsNEB95UJHoBKIpG4I5CzzFqsd4sCF1etVtN37OLiQq6urvSZ397eesbLfwp0V+HxogzI5JJ4PK6HEXjFoYYjw/+r1+tyc3OjCmNIOZJ6spOa7xv9Pgh0rZ4qI0Osp+sqjLkey3A4lGq16hnxgRe0yGiO+64VT/f8/Fxev34tFxcXnnlOgC7euciH/NTe3p6Ew2HdCDwMCxBfw+xnxNsQ+QiOgUDAM6sKr8imBB5qrqYvXgIaquS7bajFjCnmZzFuxn7PcDiUUCgkBwcHmn+0KYaHeuQWdO3UBTzdfr+vHqI9IG5ubjyeLs+dYYx/BNBlffbwAAStIwTgMsHWb0+XAx/v1kpPFotFubi4kMvLS7m8vPS8U8hPWtBF2WuVM/+sp0sEw+fB2BvsUe5vvV6XVqslxWJRx0+hCY7+rv0d97EHpResnipjl1GGr1ar+r2uJ8ULC+haT5ecH7KAftg87Vc83Tdv3sj79+/v5Pjs5NXpdCrdblclAEU+nvIWIL6Wufk7C7oYRQIb/rExeFEfml6wmr522mogEJBIJHIn1CqXyxIMBqXf78tsNtPRMuTKSUXt7+9LKpWSw8ND9cgB90XuzTzQtWDF/bI2mUwU1IhsANxFNF39Mhd08d6Jxti7TJxoNpsSCoVUB3ieFOQya7HvyWAw0EOqWCxqSoGi2dXVlUc43o6u5/9ZT3dVdRI8XQu6Nn8bCoU8985OjmG6BV4weyKXy0kmkxGRj4B733fq3p4uD56wzZ4Gk8lERMQzOhldVfuQONEI+S8vL/UDhkIhfRDLmH3pYC20Wi3p9Xqe3KY9aXd3d+8IG4uIDk0cDoc6xsOKg1McEFm88GNzzzY1405/tar3b9++laurK53lZD+7/bMtHrgasosan/P/tXeuTW1eWRbe4o6EbkgCAY6TuLrT+TLT//9PZKq7aqo66cR2bG5C9ysCBJoPnmd7vQeBkXgl7BntKhUkIXD06px19mXttXVA393dnec8tVjB58w0VVIbWtTUUS18PhyGWYCOvcqE4n6/70C+ublpmUwmkt/Ge0PAWj1Gcqfsh5cwUge9Xs+azabPRgMMWFuocxy3njI5716v505XtVp1kD0/P7fz83MfyUNUCKiyVxCR39nZuQe68/J0yW0zLkp1kXk1Gg1bWVnxz7/X60UKq+oFgyvMTqMw91SbGnSZKQSIkbtltHY+n/cXOVLNKTLkr91u28ePH/0WBtCea6Gn02g0/PCQGtje3vaCnk4g5gLhKx7h7e2t1et129nZcQBnUz0mhP7Uteoz0uKXfq+FFPJmKPBPMsBPvYtwLNFzjLFBpFgYW6555V6v5+EkFzIexCS2APk0agCzeORm0bFR/X4/kjMuFAq2vr4euejG488TljVXqdOAXyq9wBnq9XrWaDR8Hh37MK7UwVPW0e12vSDNFAtmn1WrVa+RDIdDv4jxLnVOXjabjewLHfQ6D9Bl7FKxWLREImHpdDqS9mQvj0Yj63a7D6YJOK9E0N1u1wF3e3v7yXtkKtCF5qOgy02KF3FwcGCHh4d2eHjoFWteV1dXvrFbrZaHnQAuLILnmD4YiiidTsdBl/RAqVSyo6Mje/36tb169coSiUQE4AaDQWQIYLPZ9DEv5AUZYIgS/qygi8fHDaqTYJVPiFdIDl1nNIVGEZMNoVMb4gjj9HZfW1vz3J1O9u12u5HJAYzb1skBITXv+vraQXFWT5dCKvRA6F+pVMrDXX4GgOY9AbqkRV4adMfjcQR0lXWjnu68jQnQjGh6//691ev1yATdTqfjlyiTs7n0dSBkCLrqec7L04WnvLm5afl8PrJP+Z5n/NBoI9I4GkVToJuGmvfknK7mlShK4BGSM2Em1ps3b+wvf/mL07X4QLrdrntr7XbbhsOhJRIJn5kWxwaalNMjB0bBbnt724rFov3www/2t7/9zX766Sc/ZPpA379/715uo9GwZDJp7XbbDzJexqwc43Ct5MgpPgH6gLB+JQT6EujibTCpNK68Gd4B3rRyFvna6XQslUpFDpfORVMurQIvHvGsobEWGQeDQWTuFnPSwhExpHCIOMbjse/xr8HTJWrDw2y1WnZ5ebkwT1dB9927d/bf//3fVq/XIw4DdQP2mU7gzWQyzvzJZrM+R4/0ggJg3EazA7RPonOzz/t1NBpZo9F4dFYjF4oyYxgQO80emZq9wB8kQT8ej50ID2/zu+++s7/85S82Go2s1Wo5eMB0wJMkT3pwcGCDwSA20A0LD/1+36eM4u3lcjnb39+3169f208//WSrq6vuUQ4GA6vX6zYcDq1er9vq6mqEE6vhvibQpwU0zT8CvFB+KpWKHzCYIry0ueShIgkhOoM3qbLGZXqwHjIoQQCtNsFMuqiUjoRNC3baHKFebJhaUR4v+5G/z+BHgHieRbSQhhVyYcOCNXsizDcrZVBpmnGBGDndRqNhp6en9vbtW2s2m5HL6/b21i9YLnt47pq/1anbvDg/s0SMXzLO/GP1olarZTs7O34BgG1Kl2TdmhqbZZbbkz1d7Tzhj0CpoQgB6pNDNDM/mDx4M/ObW8nImmN77GDOYvwOHVAYen06kn08Hjufr1Ao2N7enjWbTcvn8+7V9ft9azabHjqb2UwTV/WwwOSga4u80SR+6aQOM/UW8DheqmvOzCLvg4jn8vLSQ890Ou1eEDk/2rDxoqddf+jhZ7PZCEdUL0kq8Noswe9Qj21ez5DUgb60aMo49rdv39rx8bFdXFx4Wk6LwvqeyZ/u7Ox4vvS5TR1hYVc73fj7pAdgB2SzWcvlcpHiOZ5xSC1Np9MLbzoKLzccNS5iogh42isrK5bP5213d9db2ff3961QKFg6nXawfoo92dMNmQg8bEKI1dVVB1w4rAAJIUYymbSrqytrtVq++cMPlFBw1uLUQxaGL9xaGmawcaliZrNZ293dtVKpZO122zKZjLMyAF08TcLsWUBCE/pmn1M5pDnYBBxKvfz09/CeQn70SwGvgi5jrNlDgCDhpgIvnvlzQZcR9doNxcUIz9TMPL0A6OrnEdfFP8k0daD5e+VYdzodOz4+tuPjY6tUKk7S1y4q3jP5Uy4uAOy53m4ItsqMAAdYA3RKKFXj8TjyXhqNxj1PEW2ORTYdhRGGct651DRyIC3Fe9vf37dyuexMDOXzf8lm8nQ1rcCCNjc3I4CbSqW8iMOtnUqlrNPp2MXFhfNFQ8AF0Cm2xGEcIMKMMIGuIQSb5+7uzjKZjO3u7npxC+9pPB7bYDCwVqv16SH+7yGfZb3qmfL3ASvSCmEfu3oZ+nsUeF9qrL0awKaernbwbGxsONjySqfTkbbw54JuJpMxM/O/pwyFdrsdSSOwr4nOwj0St+Hpdrtdq9fr1mw2naoGCMMxr1QqVq1WnSaotDBCds4gHVfb29uRHPqsFtIaJ6W2+Lx2dnYsn89buVy2V69eWb/f98uiVqvZYDCIgDhF70U3HYWNHiHoXl5eRmoWCHYVCgVvXS+Xy06RnUYQaWrQ1UOv7XVmFgFd0gnKh9zZ2bGLiwt3x7WQoh+oAmNcpuBmZveq+MppZc14unSvJRKJSHoBkNva2rJUKjU16Crg69oAK4qWkyrtoalXS0g5T8B4ipGvVtAFVDc2NhwU8XApsDwntRR6fdCD9HDc3t565dnMHHT5/HQvzDNSUDpYs9m0SqVi9Xrd6x+8aO6ASaNr5T2Tu8e7T6fTEWbAc0xBMnSO+PuE4dDyyuWyvX792mq1mrMaGo2G1ev1SL6dfb3opqMQzyiicu4Gg4EX3Tc3N12zgci3XC7b/v7+TBfzVKDLV/WyJuURtdNDTcMfAG1nZ8cpR/Rva9PCPLy1x25+9RjVO97Y2PDwE0+UAptyeqc1pXXd3n4S2dnb23N+6dbWVqR4R0uv8lvH47E3K/BChm57e3umXHMcFu4FniWpBYpb/PM0oiEPmaa8dnZ2/HMh1YXwEiElAjKj0cgLPXjgmhed58UVXr566ejzw8GhyQSnxSyqL4DTM2uKJjQuIHLkhULBDg4OrN1uR/LROAtcInB4YRBpikzz19oJuiiWiD5fHEj991zeRGVh2zK56llsoaeR2xCd1XK57AIn19fX1mq1/FbJZrOWSCRiuanjtJDXGcpDTmMaCkNnK5VKXmjKZrN2eHjodDsNPVUH9Pr62ra2tpyWk81mbX9/3/L5vD/flzAtTnLhqj6tVtjj8igB3e3tbW/bnkSr0mii2+363uQ5Im4EhWgeoMvlrlxqcrV4lJP2FekFGo7MzAEifM5xpBf43bQWHx0dOfuIXD3RGLQy1tntdu38/NxarVZkvXoRLyJ/HpoCrr7HkP2h+zeuzrmFgy7dIbu7u7a/v++gg3SamXnTAT/7tRiFP76n1XVWTmlYvOPmxNPa39+3Vqtl9XrdX3A0G42GmZmDvlL2yDkBui+lB6styHQmKV93HmkQBV32UBgea7W61+tZp9NxDidNPsVi0bLZrLcwzxN0SQ0kk8mIFi7AaxalzqHYZ2YRnVpSKMoCiIM2xhp3dnasUCjY0dGR77nz83NnWZCfTiQSXjAfDoeeHqGBJoyMNUJelGlEG9Z8NCrCQdBC7DcFuisrK85k2N3dtV6vZ3d3d+7pNptNlync2Nh4UXWnSYY3yoGA5TBraAToakgMeBJ+9ft9720/OztzOpXZJ+odvF08NDrtyuXyi4Mu729jY+OenF+YUoiTpYJ3x9/VCRHk8kJ+tGowIFlJQWpeoGv2GdDwUMNw+6H/x+xzmsvsMzWT9IJ6ZnF4upzHYrHoOViiiF6v5+eC7s9Wq+UXnrbXK8NGvcpF1x+UyYQDFXrfoUh/XGpoTwbdMNcZ8kCf4ukBplRYS6WSN1nw4VxdXTnXj3zltPbUtU7iuj5mVDsxbVKYlUAf3vAhgfvq6sqr0PxN8mZbW1sO2qRlSNuUSiXL5XLe/vsSpoBCgYdNHIbscR421YAAZAnbSSnQRcX3eMZQgxbl6Wr4ii6Jvg/dv5i25SvzRj1mCkBxXGj8/mQy6Tol1DhQZqvX69btdiNpm0ksGz2TmiuNQ4xpWgvpokRlW1tbkUgh7rrSk05jGL4kk8lIhU8Jxo95fPp7uNnNzG/rOCTonrJWbcjQMO45VfN5ma6XwlmodG9m9/rctQi0yI2spqI45Jv1fam84zS9648ZrdX60vZqlLo+fPjgZH0uB50sgBoWhch5gq4KB2k6RlkIrEHlPPG6KAQB4HGGwrpWnhHn9PLy0vVStra2rFgsOteYS009dxqfSOFALcNBeMmiL0pkuVzOSqWS9Xo9f4ZXV1euMUFr+HO6FJ/8DsPcExsBIIPGoq2Mj/0eAIKfo+gRh31prZPoL2FTxtdkIcVGPWztCFKAi5McP6tNAl19D/p93KCrDQa0VesLGUKogHhdFHHz+bzLD86zkAbImn1+XqyDxhKiHLxbuM/sac3rsu/jnsagKTCzT5cDUR/58L29PavVal57SCQSzrah9qB1HahlMG1eMirDkycCR5ZA5Q9ChcGZ/9ZTfmhSlZWckXqPX8ptTvJC8dYQznnuwXvKWidp1mpTxtdm6umGVBsl8/NMd3Z2IoDxUu9JCfu5XM69HzO757XPA3Tp9GKiwcePH+3jx492fn7u/w3QZZ2qhkWYOU/KGJxiwDcs+g0GAzP7DLgIHSkzAYdFUwxxT2MAdM0+R1WqubK3t2f1et2fMYDL/8u5Y0+k02krFAreSktK5GsBXfYPHaHonqA8tzDQDXNGfOhhauFLoKueLmDCrf1c1aSnrFXDHfV0zSwW4I/T9EJTfmMIVBwAuJSkF74GTxfvEcBVQZlZRUMeshB0SSccHx/bu3fv7I8//rDT09PItJCHPF3lFM/D8HRxEkIuvJm5BgB5fMbx6GU6Ka8b9zQGQJdnMR6PIyA1HA6t2Wy6mt319bUPnuUzYS1aTC+Xy97+O89n/SUjdUJ6gZQnIAsDAzW1hYBuSDjvdDp+MwG6cB4hRlM44aVUHdXl1SF7cVgI7JDEze7Pwjo+PnZg0PbT29tbHzlCC6aZRdpYtQI/b2ALaS2TuK1EGmGBL65LREFBLyv+TqiSheZvs9n0VmrygCouE7eF6RhETDTXqEUUs8/jemi7RTtEX5rvB+gAuGlbQdUeqyPQHvvUIpOuL+76RPj76Ojj0jAzbyohwkRrFvClnqMvKJPzaltXCQP9Xl+Aarvddl48+WnEhXRcEjUCMIBL4yk2Fegq4ZyBdIAZ2qVsWrwF1WKgmUCnlqJNC1A896YLi3XQZ1RM5vLy0hqNhp2cnJjZJ28imUxGLoi7uzsftsdXuIoUN1Sqbl7tosrC0C6u8BACMto7DmUnLg9SQRWvW9WxQhBmnMv5+bldXFy4XCbaxiFPMw7Tnnpt8ySyYZ+FokoUS87Pzy2VSvkgz0niQdpuTTNKLpebWyonvOS+FFEuyjSqNPs8IZcLSMd2YQq06o3P8wyp3IDuAX2hbwE18/z83J0F9CLCsUnkoYmmn7qPpwZd+I+IemuSH9CtVqvOj6SXGi8AcEYAg7wPGyku0MXThcSNp03o2Ww2Pe/UarX8Z3QYJRqm9MDDtqAVU73deXq6WplWLxvPQHmnCrpbW1szN26EFoIZN79Sr8JNHRawGo1GBAyVnB6nV6ZrDYum/G0VVVLQrVQqtrKyYp1O515bbkjk39rasnK5bKPRyDu24gbdUA1rHhHMrMbnx/cKtuGsRIyUX8jVnrfGBRG2puj0KyOIAN5KpRKZBUk9BREiInmkQ1dXV58833Eq0FXCeTabjSS+dRop/54QEmI1TRAIoNRqNR/PgicXhynojsfjSHrh9vbWK9qA7+npaWSoJu9VxcO73a7t7u564YDQUruq5mF62LUdUcNeDqR6ulSN4xLh1rCM/DKfI+3JOuX3+vraRbcRZG+1WhEhmTA1Eyfo6lpDhSyNqDS90G63bWVlxa6urqxer0f+u34OrJmJAQDuPMXOVZHvawFd/dzI36u3y3niZwDmxwZSziu9oM0wk17s00ql4p4uaQVqD7BJSJ8mk8kI4D7185iKMqa3uIpqADy3t7e+KCWoc7uh7oRiEtqaFIC0DW/WtkD1dHkI4YeMZ8NB41LRTYMXrMMheQ8AbjjjaZ5dS8pt1r/L86I7CSDkZ8JRIrOuUQt6od4vk0E03UAEwaijVqtl/X4/UqkPW4Pjurg0nzkpNRCmNRKJhLeyQvifNGmDM4CHBjVvd3fXu93iNj4v1ht6h6FgC16+5jDnafqZaXpOGRS6jkkiR/Ouh8D8CMdd6exBvFuU3hqNRkTGFgaG7n0GrwLKsYPuvf/xf6kuqGINh0NvOaU1EG+BdtWtrS0f2dxoNOzy8jLiQdO1BJjPCmR4UTwEOrUODg58bHIIqJpUp3jBhYDHjJzb/v6+lUolK5VKc+9a0mdDe7DSoRiZMh6PfSw2IGz2eRKqzkib9kILDzIAr91IDMlU4KVIent764UWcqDkQWlZzmazsYhXayosnU7b7e2nOX1Mf242m97Jxc+bmX/eiMRPmj1Haof9MKmAGLeF1X46vTj87F88dwqCOA5ra2tz9cC/BYN9oKCqEyIuLy+tXq+7MA/TTUghceExPRx9k1m7FmcGXe3gKBQKrpmwurpqo9HIdRUYQlmtVm19fd21Qhk7woRWBd3njmsBdPlniNgHBwd2dXVlKysrPvgR79ssWv3XKisecLlctnK57MrxxWLRNYTnSaAnpZPL5dwTQ91pZ2fHgY3Ngwra+vq6t25mMhmPJMwel7ecZOrpanoBT/fi4uLB0TNm5qEmyvt7e3suzLO/v2+5XC6WOW4KuuSNO52ONZtN293dtXw+f29kjLIySI1MMrxz/k4oKj8PIyRHHJx8uY4CVw4toEthB93q/892dXXlacR3797Z2dnZvaiM8wQuIauq51/H9SjoTqvP8SxPl9zu3t6eez+8CTwhhC9YVPhmKbABLFQENQ87rYW5JjxdQkCKUgh0aEstOZq7uzt/4HhmBwcH7u0yjkSLW/MEXfryV1ZW/LnW63VLp9Mu8QiHsNVqWSKRsFQqZfl83vr9fkTHglBpmvWGxanQ061WqxHPC+DCqybHXiwW7eDgwF69emWvXr3yC2Eeni7fK8WnUChE9D54ESI+JhZP3k49yHkzCUhlpdNp57oqD5kRSAq6eG9xsle+ZYNDfHJyYr///ru9f//eOyJJM7JvKUKTsuHCw3ErFosOuqVSyRuwFg66aMByU5DvoIijL82j0QwRerrPFWDWXJfZ5/QCPEGmB9CtxAewtrbmX83Mi3DZbNa9XE0vFIvFSP5w3qBLfrzf71uj0Yg0Qdzc3LgY983Nja2urlo+n7f9/X1vXeT3zVJhf6iQhqdbqVTu0cgAP3LqhMgHBwf2ww8/2Js3b2xnZyfCyIjjeYWdU9B8dnd3rdls+vPQketEOBRbVPsVI5+PB6le7iI8XbNP3rbSLjOZjI1GowglcjAYeE4/LvbKt2ykF05OTuyPP/6wX3/99d6ly+VJtEudSqMMBV1e8HOniXRnBl1ARv8oOdhQpIUNjZepIsHqfYWUnOeCGP9/2CKpxT9tUcRDprWS71XMWJsjFtE9E9KVlIythYiQwQCoaLX7OYdPmx50c/IZKw8W8NIOQ23uIPIhkohbI0CfF9SwUCs11Ntgr+jlEpqmI8LXvCz87MPPPzwr6uAsYn3fguk+JZerNMJJQltENDxf3UPh5xA2znzJvi5ll6/cdPMuciPPixUR9xr+rx/u/+8e49LiscRjByWRSHx1p2g8Hk88/cu1zm7fyjrNlmudl30ra/2l/gpNAAAdMklEQVRW1mn2yFr/r3snS1va0pb2NdkyvbC0pS1taQu0JegubWlLW9oCbQm6S1va0pa2QFuC7tKWtrSlLdCWoLu0pS1taQu0R9n93xQNY7nWme1bWafZcq3zsm9lrd/KOs0eXusXW6qmoZSFXR5//vmn/fbbb/avf/3Lfv31Vzs9PXUdg0wmY5lMxvb3973F9vDw0AqFwr2uNexLBH06pRi5wev9+/f29u1b+/333+3333+3k5OTiCLWJEWplZUVn2DLWt+8eWN//etf7eeff7aff/7Zvvvuu2et9Sk2GAzs119/9de//vUvq1QqkZHio9HI/va3v9nPP//sX/f29mx3d9dFXtLp9MTfH9c67+7uIoLm/X7f3r17Z7/99puvu9Vq2X/8x3/Y3//+d/v73/9u//mf/+k6yzy/x7rSnrLW8Xh8T+3s3//+t/3zn/+0f/7zn/aPf/zD3r59+8WOJISSmKq8s7NjP/74o/3000/+jF+/fn1vWsJTdWEfeq4qVD4ajazVatkvv/xi//Vf/2W//PKL/fLLL3Z9fR3Rqy0UCveeK4L7T7G49sCkZ//+/fsv7oGnrjWuZ9rtdu+dqWQy6doqh4eHtre3Z4VCIXKGpulAfWytsfWxasvhJAFpFZIOlajiHExodl9PVVuLVUtVBVZUoR/Rm0ktzeHYF/0704rIPOe98f3XYqEYDvoFOvuO57SoZ6QvPndt/0YCE/EabXHWzx8dVR3zgoIav2Pe3Wp6trQNm7XpXDie+Tw1Qb60Rm0J1wuOvbDI9uTw2YA7OiZM16sXh07e1r37nGcaq3gAb0z1VHX6QrvdjoyUQVKRaQyTlJ1mMR1vo0MD8Q6QbFPjQ2DtbFodg63yb81m09LptG1vb/vvmufUWO3/nvd4k1ns7u7OBoOBNRoNq1arPh+NCR0ItyxivJE+Ly5X9HWz2awVi8WInKOZ3Rtvzxw19CzMzAXiGeOEQJNqr87jM1EZSl0P/35jY8PPF+u7vb2NiIrPY3bbpHUixsO5r9fr1mq1fOxNqAmyCOAdjUYehaE4d3Z2ZtVq1RqNhnU6HZd8vbu7c4xCCIlJ22h86/SQWSxWTxf1KUQlUBvr9XoOWAAuIIgC/97e3sQwb1oLBULCaa2EgwAy4jVI5aEuPxwObWVlxdc0Go0imxrQ5b8j6h73oVNPWoFkWpGNeZuC7unpqX38+NFqtZo1m02/tBYxyNMs+sy4fAHdXC5n3W434v2urKy4Ni3ggNA5exoZ0Ha7bY1Gw2q1WmRQ69bWloNv3KYeJGJCeLh46nrGmMiCwhv7Zt6moMs6AN1ut+uzxpDPXJSne3Nz48p8OAXn5+cOuu122ydcII05GAz8s2UQABccgxdmtbl5uowrBsS63a61220bDAYOiMwWKpVK1u/3Y/d0AV1uKTxccnQ6qZgbkDE/GsahlMaYITZUJpMxM/PxM/OU93tozMzXCrrv3r2zdrvtOqVmFhmouShPl4PCZ57NZm0wGEQUx9bX1x0oiFZCGUty1khZMjFA5f/m9fmHni7pBITUV1ZWrNfr+f5kXBaXQBw6xU9dZzgDEdBlqq6mnBYlIATo4uEy8ZcJ1YzsYmhut9u1fr/vny0jmTSFyP6Zxebm6VJMAXjxElVgPJFIWDqdtqOjo9hAVz0cbi/1cgFfvJ7d3V3LZrPW7XZtY2PDxuOxF9cINXWeGpu62WxaNpt1LyeVSs0VdPHMFLTmPVtqGgtB948//vC0AmtdRHohjAzU02XSydXVla+FqKfT6Tjgkt9TYfOrqyt3HDS1BOCqSHycpl6u1hPC90s4z/4MB8kuwgjNucBqtVpkPh6eLumFRQ3XVE/34uLCjo+P3dPlUjAzn6DN6HXV0u31eq6Z+9wRSM8CXc2LjUYju7y89EkC9Xrdx253u133FszMD104wC7MV87qxWl6YTweu4g5E2vxclGET6VSPseL24wiGZsXEe50Om07Ozv+dXt7O1ZtXS2SMOiTaAHQJ1TTZ7po0+m6Nzc37gHCqGg2mx7iIsKey+UsnU773Cn+f7PP0yziMPV0zT5NfNAU1vb2tqeV2Hv1et3HTJHLD4GBUDOZTPoeQCx8VsH90HBcuPiZtIwGbPiMAGXAQGsW7Mt5XXBhsZxLt1arWaVSsZOTE5/ht7a2Zvl83lZWViyfz3uUwHPWy/K5Fhb1Ly8vI2L75+fn1mg0XPTfzCbijo4aSyaTNhwOLZfLucj5rOOlZkaK8I0xgr3RaNj5+bmdnp7aycmJ1Wo1nyJhZvfyq8wY4nBqkvo5oItAOt50qVQys09Fu3a7HaEp4RUDuHg4pA34GWZ7Md+rWCz6TLe4ptmSzqCwp3k6RppzEw+HQ7u5uXmRFAMFRsabkCujMEEaiYuNwZC5XM5H6fA+zT5/ZnGYsknMPoEu8+U4/JNEwRnsSbSjYuYAGp5PqVSycrlsu7u7trOzE6GLPcdwXogQa7Wap+UeumQBXPLWu7u7PqmY4s88TEd0MXwWwD09PbXj42Ofncg+SCaTVi6XLZPJ2Pr6ukcSOm38uedILwMiMJ3lV6lUrNfr+UBanhE5cC6tu7s763a7VqlU/PcwWSaVSs28vmd7ulpRJW9yfn5uHz588Km/eJh4jswV2tnZsUwm46EaB+A5VBf1cgjJ4ahubm5aJpOxXq93z1Pj7yq9RA9aMpn0uUgKunxAcQ2m5AKjmKMhIxEEBUk2zSKKJKFpZIM3UK1WrdlsWrvdtn6/b6lUyjfo7u6uD6Ck4Hh9fe2XnU4Rea6FNLHt7W3nWaZSKbu8vLxXhR6NRlatVj03z6QTfh/RDgNCGU5KxBPXjLzb21sfF95sNh10GTE06RklEol7xcJsNuuOzbw8XUAXZkCz2bRqtWqVSsXOzs7s+PjY1tbWfE2ZTMYHkzIolYuXEUvPfYaaiiGNoaCLp6tTbXRsvALv3d2d9Xo9G4/HjmGrq6uWSqWsUCjMvMZnebpabGBGF57uhw8frFqtejiMR0aVn2GEzPlST/e5XDi8ZMYDQefJZrMeuuFJ8AI0OXBXV1eWTCZ9I+Pd6KtYLEZoXHEdOriC5MJphKhWq3ZxceH5by67lwBdps4CuGE1mGe6srJiyWTSisWigxSTajlweJ1xpUo0TCXFwUy/3d3dexzWRCJhg8HAjo+PfX4eFCLAO5H4PAqdvbC/vx9pjIgD3EajkYe1hOowQB6qeeDM6PqoN8yTuaCgC6gBuicnJ3ZycuIe9/b2th0cHNjh4aF74uvr65H9y7N+rilPmOIY9DXWp3URnh3nnZTR7e2t4wO/F8B9aGL0U2xm0FWy8fX1tU8mJZd7enrqm6Xf7zvvURkFhBxx559CL5nQCxuNRp57xOPib+O9Q4ZeX1/3kFK7U5hi+1zTqjQ3K9SkTqdj1WrVq8CMrp/UQac5sbAJIa70gxLaSSc1m027uLhwTm6n0/H8Ix5YKpWyTCYT6eoZDocRb4NnTaX9uWvW907u9rGQsFKpeJ6Ri5c9iSdEHjebzfpe4MKN69IFdHFg1NOdVKzjs9YIklzzvI21drtdT32xX8nr81zS6bTt7e3Z0dGR13Fubm6s1WpFAI/39JwmoLDoSGG/1+s5+ygcr05tRyMXqGMUAbe2tmxvb88ppXp5T7POJ4NuOIiPvBPc1nq9bh8/frTz83NrNpuRYo/SQ8KuFYoDi55g8RAjQB8glBHdFBzEuFIJhGa8CNeh2dRqNfvzzz+tWq1av99/8DmFwzc1Px6XB64v9WzOzs7s9PTUWq2Wh4pEMkx2pnOLPcErl8t5yob3gQfykgwNmjmSyaSnwkqlkuXzeT+UkwZDPtd4Rt1u10G30+k46EIVU7BPpVKe4lpk1EPNAUbAycmJR2Jm5sVT2uip38CJpliIU6POjA7fnEfTEecEsIXJlMvlrFAo2NbWlqfzNJ+rAN7tdmda51SgSyWXiiC0kFqt5g/+4uLCGo2G9+Br+6xOrVUPT1saF2UPNRxoBXNS6EFhLa6iWb/f92eIhxDygcmXkosOTd+Hgm6YrpnVlA5IdNPpdNzLPT09tbOzM6cEra2teV6RIhOgS0TEeyuVSt48AYdaN/BLgS4XLvlILod8Pu8gF+fkaky9Rz77VqvlhbTx/043hkkBm0JBd1GFVQXdDx8+2IcPH7yIamYe4QC4mUzGksmkvzc840wm47oH7G+ld8b9nnCoONcUH8vlsu3v79v+/r47CzhGRD+ALhS9WdY5taeLpwPokr/h4J2dnbmnS6FHwVpdfx0P/hKebthaOyktAegqwyIu0OUDrdVqdnx8HOniongGx7HX61m/358Iumb3G0JYZ5ygy6ajwMfBganC3wqZKYAu1WD2ycnJiR0cHNh4PLbNzU3L5XKWz+cjBaxF6FlMMt4HzAuKp7lcLnKRPKfoO8kUdMNCGqkYvVwBDlJ0L+Xpfvjwwd6+fet7hZQCoMsrlUrZ3d2dNRoNe//+vf3++++Wz+d9b4epIIrZ0zzfL/2spjkB3UKhYOVy2V69emXfffedr3MwGDijhXoQnm6n05lpnVN7upNA98OHD/bnn396OFSv132TKJhyiEIAV7GRRVhIoJ/UWsttCMVtHp6ugu7Hjx/t3//+t0cKFM86nU7kWT1UvdZUifKe4/LCFHS1h13TC9DnyItNSi90u127uLiwt2/f2m+//Wbtdts2Nzctn8/b0dGRXV1d+Xt6iQIhRmOBekF7e3ueXmAfxG1heqFarXpeEU9XBZuottPs8VKe7sePH+39+/eeK1UvUlUFk8mk11TevXtn//jHP6xQKNhoNLL19XXnwpt9jjbixgVNHSaTSctmsw66r1+/tjdv3lg6nfazSbt3uP+73e5M63zSrpmkHkaFH3f78vLSeZA8tKurq0gVUYs8eGYPeZmLssf+rnrDk5o34jDtmsJD3N7etuFw6F1uqm6mRTe9qPSZxr1WVRDjs7y8vIy8hsOh02zMzAFTQYSLmjpAqM/BS7mxi/R09dIib49qGsUUxJDiAAKacJS6SMEULrb+XdgLodPwXJrlU033HqkxXnyedP5RcC6Xy5ZKpZwhcnd35yk02m23t7c9R9rpdDxXurm5ObUei+KU7lddO2ymXC5n+/v79urVKzs6OvJLVYWstIFGazlhWnSa/TCTp6sybbyx8XjsBRSoK5DnoVyMRiMP5wGZOMPguI2NrUWLOIs7Wt1H/SqRSER4zIAVIkI0RGjUoWtVzz1OfQY2MSEWX1UxCjBiA8LlVdJ7WInnAtfCLN7cojQDzD4X8PAg6Wak/RcvbHd319kZzzV+vzaZVCqViEgMegWLbJt9aK0KYjc3N5H1cSGQJiqXy3Z0dGS5XM5SqZR7t+PxOMJyYd/oHuh0Ou7FT+rC+5Ip4Krjx/5MJBJ+MRwcHNibN2+sXC5bsVi0TCYTYdBoyk6baZ5zpqYG3TAny2ZAWIQGhJWVFQ+RzMy7vCYVfL5W0NUKelwtyuHvZ3MButDbFHS5/RW82OR4heqVz+OCCDcyn6fqkYbAANGf78fj8b1KvIZtHDh9LotMOSngosMBHfL29tay2ax3Mj2UW5/G7u7unDNO8VT1APAEVXTppQzQRSuZ6GUwGLgjMB6P3YM8ODiwH3/80ba2tvz/bTQadnl56aAL15UirV68yWTSAXOaPaDMqHCvsjdXV1ctmUx6SuvHH390wIU/zM9NYgQ9N3qcuZCmHi9vSDs6tre3XUiCFkHAKnwji85FPdUe8x7j+v10vOVyObu5uXFVo3Q67WE4FX0zi3hYKiUYhptxXhBhl496u7AZVJUNcOBiwIthEoJW4gEePXDP8XJmNUCX/BwdUqQTLi8vLZ/Pe4E4Tk8XnisttKrMdXl56c/+pbxc1groEr3CUEIcSguigC4XrcpiVqtVV6DTixcg73a7lk6nHXSntXCvArpclDTs5PN593RzuVzkwqU5RlNOcankTVUJUIEbs8/VfWgrtPRmMhlvemBTbWxsRCT1eBMh33FRpiD1GKjyXjWPGuca1tfXLZVKuedHxbzf77v6GZV/Wq2R80MwRLnFYd58HhcZIZrmo/kcwyYT5WGjSUtYqevT1IWqUC3KwsIpnq7q13Y6Hev1eg7EzzWl4nHpkMNVoFh0ofmx9YafkwIZrdIqozkcDl3EvFareRMNl5fujXAqR5iueqqFzRGhaDrMFLr39vb2LJ1OR85RCLpamNZUi35GT7Ung27YH5/JZKxUKnkb397eniWTSUulUk4oV51SeGwkyMME9SI9Xa300+5HBVjXxM1O5xXvL65DB+ji1ZmZX1RQswhtoWm9VLExXCdeKdxcnh/PcFIaCnAhzUQahefK3lGO8aJMLxCKQVqE0VymplS0gDXtZ0MaBXI+Sl2kWZhowN9UgaBFGxEqkZiZWTab9U7NYrHodLZ+v2+np6e2sbFhw+HQ22/x5uv1uisPav6e505HndLy4jZVc1NnMGQxaauwmUXwgOhzfX3dkslkvOwF9Wr4Z6Ym0BHT7/fv6daOx2NrtVp2cXHh5G19vWR6QUGX/nzaAvVG04cM/SVu0NVxP1BqCIuoCkOteolmgUnrJK9HaiGZTEZy/jw7lSlU701z13pRQ81b9J5gf8N9pSUVgNW5WTqHbFLb9VON9BKfeSKRcBlCXjxnKv8vlYJT0DX7dH7gVRcKBSuVSq7MNxgM7OzszAFNm32oT2jEQISBNADUQ85i3O855J0PBoMI1XJSyk7bw2FXcC6SyeRUespTebosBOUuVJsQgFA1fhSEqtWqpdNpB4yQ2P0ShTQNJQk3lGDOg7+7u/MCT6vVcj5fXIUUPjQzc1DTcIV2Wy6uWfU757FOTQGsrKz4xQunlDQIlXmq3JpzRs8A0OWrck4XZar9wGWAU6EiSJPCVX5mWlP2Ct4eEQ2de0wwMIsWJl/CEKsCfENP9+rqyj3d4XBolUrFnRaKghRRucDU0wV04fPOiwsdgi4OI1igzqWmHqk/DAYDT3ug1Tw30MX7MzM/MJrr1JxIIpGwfr9vx8fHLlytCWlyZ3i988o/PmQceh4yoKueroqPcLOzaeIEXT5kbRzhn9PptLdKos61aHtonQAuISe96oiBhxXp4XDoRVY8BNIKCr4v0dIaerpUz/EwNY+Jx45nN2uxEtBV8EVhDO8QHQMA96U9XXVWAN1CoWDNZjPCu+by5bKFa6xUQfY5Z5FcsKYX5uHpmn1OL+DpovG8tvZ5KoQ2Ha2trUXWT5Evk8lECsNPsamvER7ApMOvBGRt81UOpyoicdgA3zhDZwUuzStOojmNRiOnsaAXoUUzLWTMozvmsU2lvd1h6oZ2y0VYuE642BTKVByI8JxLgs47s8+eMvQcNBoovsbR0qqflQImaQ4Vfud90cperVYnNiWwfzU/rQcNh2Saz0PTdhxumCxoUqBloZznkGrHe2Jfz9N0H0B1LJVKNhwObXV1NdLkguQjtMd2u+2pJYrWa2trViqVrFAouMh96OlOu8fJzRM5cpnrhQ8jhblpCO/gBIzHY+8IZS/c3d35eiARaAH+yeub6t08Yk8hTwMSgK5qbcZZOOGwcfCUgI66kRYnbm5u7PT01C4uLiJUlrDbSxkBL+GV41FeXl46h/SlBGHIyXLIAVNAo1gs2tnZmXsOPHcAF0UpRGQQxwnTC7M853ByAOI8zOvq9Xr3crHVatWOj49dtKnZbDonVxkYYWee2fNallkDew3dZ3KkvH/oVIlEwp0aUg2E84tuoNjY2PCCOg0H2shzeXnpko+VSsVDdWo5XNKHh4e2t7fnoKvz56YFXc09E4nBqtLxSmafntvFxYVtb29bp9OJjO9aWVnxMe2a5mFNtA9rS/hT1xk76D5GnqYQoBQzqGVxerp6QMjLhjPGNEd3fX1tp6en7u2Ss1UaiNKhFgm4IdOCTUOv+kuFm6g0mX0GYKrwhJUwQwaDgdXr9XsDIovFohUKBZfz41A851mHnGJoairM1Gg07l2k5M0Rim+1WpHCWdheivfM5zMrvU1DWNpTM5mMMzzW1tYis7pIe3HZ0ZDAOhcNurT8M51Dna7r62s7OztzEGN9OoU7lUq5wlixWPQ2XGURTWMKukTVOtMQvEG7ul6vWyKRsHa7HZmBuLq66jooiPKjwUBqjP06rcM4F9B9iDytYtWEpzo1Ik7Q1Up6KLTMgVKSf6VScdJ2OARwUpfXSxT9AF2qpXEJ78xiFFWUSqbPk3Cz3+9bvV73sA5QAXQRA1dP97nPOOy7b7fbdn5+bu/evbM//vjDTk9PI58p6+RS5pDhOSrA6e+lcIQ3P216wWzylAumPuD1IypD3pHUAhfL5uamsyviqDU81fB06UJjTXr2EHofjUae19eRQtls1g4PD21/fz+SXlDWwCyerjJustmsYw2ynOPxJ03warXqaQZSXpAEKpWK1Wo193QTiYTLHSjoTjuYNNbSIJsB4AVs1WskF6JjMeKUS5zk6UBbqdVqPlYmpDKh7xryB+epp/tU00ID64DmQmiq7Y8Ag4JB3DZJGyHMk8PX3NnZ8bVqwQSdWsCW5/tcC8nxAP/Z2Zm9e/fO/vzzTwdLvEkiNM3lcskSUWiuWS/25+b6Nb9MQY0QdmVlxU5PTx3c8Pz422YWoeMp8OnvnYcRkTw2pSKRSPgEFLxMLl0u3FKp5ALipBaeY2GjFdzfbDbrYI/qHThF+pFuuNXVVVf763a7dnV1ZalUyh0gmj+gtk0TdcYKupoj01Zf9GgvLy8jPczzMuVVDodD1yVljJAOplNR7nBqMTO1yuWyfffdd3Z0dGTFYtFBZBEWdkpNAn+8THr4q9WqPwczW8haFfg1p6qaDKrT8RLdVQrGfE94z783M88na0v79va2/fDDD/bq1SvX1Z0H0yKkKQFsnKXNzU2PGtWZ+RLZ/6UiotD0/SmbaZ6pOzzyvb09e/36deTM4JzRhQYQJxIJj9ZJKeAscGnoJfFini4bmA9cq4iExfOmA2mag/RGCLpnZ2cRT4i8r/aQI1GJPN3333/vIVA6nV446D7kcRNuctiY5sGlRr51EaZRxiQ1Og09F9niG14Gkyr8/AzPGw0BXvl83l69emWvXr2yvb091woGOOJ0IpSUr632XLzkbxOJhOebn0L2/1pM31cY6c4DExDhKpVKdnV1ZRsbG/ekRRUzwn0L6OI8ArpoK5M6e1FPN9wsUIgWMcspzC2Tp1PQPT4+vncQwwNJmJfP521/f9++//57KxQKnoxfFOia2RdBF/I+eclareZFiO3t7YXl+cIKf0jRU/ogPz8Pm7T5VawJoFLvPGz5VL1VXoeHh3ZwcGB7e3vu6Yato3GsXfOZ6ulq63wi8WmgKp//l8j+L8HvnmRKk1POfhySiQ+ZerqI3aBZTAqOfDP1qKurqwgtTIvACrpg24uALl6uhkbhSJHhcOjphXmKsYQFPfV0GaDHz/JVN7pWPQuFgh0eHtrr168tm816M8eitF4nFdLCTj7oY3TO1Wo158tms9m5czexSemF8EKbVcTkuevSnHfoxcAEYV+SWgB0v//+e/v++++dT1osFt3TjTtvOukcKeiqGI+mDZ5C9v9aLOxMjXuIamiALp2nmUzGKpWKPxtw4ubmxp2WXq/nlFbkHpFbpRDIdOtpWRbx99hZlEDN93qDz5vnqmFu6HE9JBpCtdPM7nkaX4P2b0gtCv++kve1RXfRYfxjr0Wu40v/LsxBa5459Ma06UM5xPMM2x87N+HLLNrAM+k9fW2m700ZHPM4V5qiw3lRzRdtsw4lIRGy0bWCC6Ey4VPX/nUle74y+1o37FNM176o9/FSnOHQvpZ1LG1pkyzx2IFMJBJfHeqMx+OJJ2q51tntW1mn2XKt87JvZa3fyjrNHlnrt+zNLW1pS1vat2bL9MLSlra0pS3QlqC7tKUtbWkLtCXoLm1pS1vaAm0Juktb2tKWtkBbgu7Slra0pS3Q/gd1UsXfEC19NAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x432 with 64 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load images of the digits 0 through 5 and visualize several of them\n",
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits(n_class=6)\n",
    "\n",
    "fig, ax = plt.subplots(8, 8, figsize=(6, 6))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(digits.images[i], cmap='binary')\n",
    "    axi.set(xticks=[], yticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because each digit is defined by the hue of its 64 pixels, we can consider each digit to be a point lying in 64-dimensional space: each dimension represents the brightness of one pixel.\n",
    "But visualizing relationships in such high-dimensional spaces can be extremely difficult.\n",
    "One way to approach this is to use a *dimensionality reduction* technique such as manifold learning to reduce the dimensionality of the data while maintaining the relationships of interest.\n",
    "Dimensionality reduction is an example of unsupervised machine learning, and we will discuss it in more detail in [What Is Machine Learning?](05.01-What-Is-Machine-Learning.ipynb).\n",
    "\n",
    "Deferring the discussion of these details, let's take a look at a two-dimensional manifold learning projection of this digits data (see [In-Depth: Manifold Learning](05.10-Manifold-Learning.ipynb) for details):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# project the digits into 2 dimensions using IsoMap\n",
    "from sklearn.manifold import Isomap\n",
    "iso = Isomap(n_components=2)\n",
    "projection = iso.fit_transform(digits.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use our discrete colormap to view the results, setting the ``ticks`` and ``clim`` to improve the aesthetics of the resulting colorbar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "plt.scatter(projection[:, 0], projection[:, 1], lw=0.1,\n",
    "            c=digits.target, cmap=plt.cm.get_cmap('cubehelix', 6))\n",
    "plt.colorbar(ticks=range(6), label='digit value')\n",
    "plt.clim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The projection also gives us some interesting insights on the relationships within the dataset: for example, the ranges of 5 and 3 nearly overlap in this projection, indicating that some hand written fives and threes are difficult to distinguish, and therefore more likely to be confused by an automated classification algorithm.\n",
    "Other values, like 0 and 1, are more distantly separated, and therefore much less likely to be confused.\n",
    "This observation agrees with our intuition, because 5 and 3 look much more similar than do 0 and 1.\n",
    "\n",
    "We'll return to manifold learning and to digit classification in [Chapter 5](05.00-Machine-Learning.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Plot Legends](04.06-Customizing-Legends.ipynb) | [Contents](Index.ipynb) | [Multiple Subplots](04.08-Multiple-Subplots.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.07-Customizing-Colorbars.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
